Home / 277.50-416.25-106.50

Finding the Fourth Proportional to 277.50, 416.25 and 106.50

Calculator

Solution

The fourth proportional to 277.50, 416.25 and 106.50 is: 159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.50 : 416.25 = 106.50 : x
  2. Step 2: Convert to fraction form
    277.50/416.25 = 106.50/x
  3. Step 3: Cross multiply
    277.50x = 416.25 × 106.50
  4. Step 4: Simplify right side
    277.50x = 44,330.63
  5. Step 5: Solve for x
    x = 44,330.63/277.50
  6. Step 6: Final answer
    x = 159.75

Related Problems

Find fourth proportional to 138.75, 208.13 and 53.25
Half scale
Find fourth proportional to 555, 832.50 and 213
Double scale
Find fourth proportional to 278.50, 417.75 and 107.50
Similar ratio
Find fourth proportional to 416.25, 624.38 and 159.75
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.