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Finding the Fourth Proportional to 534.47, 802.39 and 361.90

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Solution

The fourth proportional to 534.47, 802.39 and 361.90 is: 543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.47 : 802.39 = 361.90 : x
  2. Step 2: Convert to fraction form
    534.47/802.39 = 361.90/x
  3. Step 3: Cross multiply
    534.47x = 802.39 × 361.90
  4. Step 4: Simplify right side
    534.47x = 290,382.03
  5. Step 5: Solve for x
    x = 290,382.03/534.47
  6. Step 6: Final answer
    x = 543.31

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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.