Home / 534.78-802.20-150

Finding the Fourth Proportional to 534.78, 802.20 and 150

Calculator

Solution

The fourth proportional to 534.78, 802.20 and 150 is: 225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.78 : 802.20 = 150 : x
  2. Step 2: Convert to fraction form
    534.78/802.20 = 150/x
  3. Step 3: Cross multiply
    534.78x = 802.20 × 150
  4. Step 4: Simplify right side
    534.78x = 120,330
  5. Step 5: Solve for x
    x = 120,330/534.78
  6. Step 6: Final answer
    x = 225.01

Related Problems

Find fourth proportional to 267.39, 401.10 and 75
Half scale
Find fourth proportional to 1,069.56, 1,604.40 and 300
Double scale
Find fourth proportional to 535.78, 803.70 and 151
Similar ratio
Find fourth proportional to 802.17, 1,203.30 and 225
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.