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Finding the Fourth Proportional to 534.55, 802.16 and 187.86

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Solution

The fourth proportional to 534.55, 802.16 and 187.86 is: 281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.55 : 802.16 = 187.86 : x
  2. Step 2: Convert to fraction form
    534.55/802.16 = 187.86/x
  3. Step 3: Cross multiply
    534.55x = 802.16 × 187.86
  4. Step 4: Simplify right side
    534.55x = 150,694.68
  5. Step 5: Solve for x
    x = 150,694.68/534.55
  6. Step 6: Final answer
    x = 281.91

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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.