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Finding the Fourth Proportional to 534.87, 802.20 and 144.89

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Solution

The fourth proportional to 534.87, 802.20 and 144.89 is: 217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.87 : 802.20 = 144.89 : x
  2. Step 2: Convert to fraction form
    534.87/802.20 = 144.89/x
  3. Step 3: Cross multiply
    534.87x = 802.20 × 144.89
  4. Step 4: Simplify right side
    534.87x = 116,230.30
  5. Step 5: Solve for x
    x = 116,230.30/534.87
  6. Step 6: Final answer
    x = 217.31

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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.