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Finding the Fourth Proportional to 534.58, 802.05 and 361.24

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Solution

The fourth proportional to 534.58, 802.05 and 361.24 is: 541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.58 : 802.05 = 361.24 : x
  2. Step 2: Convert to fraction form
    534.58/802.05 = 361.24/x
  3. Step 3: Cross multiply
    534.58x = 802.05 × 361.24
  4. Step 4: Simplify right side
    534.58x = 289,732.54
  5. Step 5: Solve for x
    x = 289,732.54/534.58
  6. Step 6: Final answer
    x = 541.98

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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.