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Finding the Fourth Proportional to 534.85, 802.27 and 150.10

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Solution

The fourth proportional to 534.85, 802.27 and 150.10 is: 225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.85 : 802.27 = 150.10 : x
  2. Step 2: Convert to fraction form
    534.85/802.27 = 150.10/x
  3. Step 3: Cross multiply
    534.85x = 802.27 × 150.10
  4. Step 4: Simplify right side
    534.85x = 120,420.73
  5. Step 5: Solve for x
    x = 120,420.73/534.85
  6. Step 6: Final answer
    x = 225.15

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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.