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Finding the Fourth Proportional to 534.76, 802.05 and 144.79

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Solution

The fourth proportional to 534.76, 802.05 and 144.79 is: 217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.76 : 802.05 = 144.79 : x
  2. Step 2: Convert to fraction form
    534.76/802.05 = 144.79/x
  3. Step 3: Cross multiply
    534.76x = 802.05 × 144.79
  4. Step 4: Simplify right side
    534.76x = 116,128.82
  5. Step 5: Solve for x
    x = 116,128.82/534.76
  6. Step 6: Final answer
    x = 217.16

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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.