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Finding the Fourth Proportional to 534.89, 802.13 and 257.20

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Solution

The fourth proportional to 534.89, 802.13 and 257.20 is: 385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.89 : 802.13 = 257.20 : x
  2. Step 2: Convert to fraction form
    534.89/802.13 = 257.20/x
  3. Step 3: Cross multiply
    534.89x = 802.13 × 257.20
  4. Step 4: Simplify right side
    534.89x = 206,307.84
  5. Step 5: Solve for x
    x = 206,307.84/534.89
  6. Step 6: Final answer
    x = 385.70

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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.