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Finding the Fourth Proportional to 534.10, 802.41 and 315.29

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Solution

The fourth proportional to 534.10, 802.41 and 315.29 is: 473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.10 : 802.41 = 315.29 : x
  2. Step 2: Convert to fraction form
    534.10/802.41 = 315.29/x
  3. Step 3: Cross multiply
    534.10x = 802.41 × 315.29
  4. Step 4: Simplify right side
    534.10x = 252,991.85
  5. Step 5: Solve for x
    x = 252,991.85/534.10
  6. Step 6: Final answer
    x = 473.68

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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.