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Finding the Fourth Proportional to 534.83, 802.51 and 242.54

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Solution

The fourth proportional to 534.83, 802.51 and 242.54 is: 363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.83 : 802.51 = 242.54 : x
  2. Step 2: Convert to fraction form
    534.83/802.51 = 242.54/x
  3. Step 3: Cross multiply
    534.83x = 802.51 × 242.54
  4. Step 4: Simplify right side
    534.83x = 194,636.16
  5. Step 5: Solve for x
    x = 194,636.16/534.83
  6. Step 6: Final answer
    x = 363.92

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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.