Home / 287.66-431.40-105.02

Finding the Fourth Proportional to 287.66, 431.40 and 105.02

Calculator

Solution

The fourth proportional to 287.66, 431.40 and 105.02 is: 157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.66 : 431.40 = 105.02 : x
  2. Step 2: Convert to fraction form
    287.66/431.40 = 105.02/x
  3. Step 3: Cross multiply
    287.66x = 431.40 × 105.02
  4. Step 4: Simplify right side
    287.66x = 45,305.63
  5. Step 5: Solve for x
    x = 45,305.63/287.66
  6. Step 6: Final answer
    x = 157.50

Related Problems

Find fourth proportional to 143.83, 215.70 and 52.51
Half scale
Find fourth proportional to 575.32, 862.80 and 210.04
Double scale
Find fourth proportional to 288.66, 432.90 and 106.02
Similar ratio
Find fourth proportional to 431.49, 647.10 and 157.53
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.