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Finding the Fourth Proportional to 535.22, 802.54 and 361.88

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Solution

The fourth proportional to 535.22, 802.54 and 361.88 is: 542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.22 : 802.54 = 361.88 : x
  2. Step 2: Convert to fraction form
    535.22/802.54 = 361.88/x
  3. Step 3: Cross multiply
    535.22x = 802.54 × 361.88
  4. Step 4: Simplify right side
    535.22x = 290,423.18
  5. Step 5: Solve for x
    x = 290,423.18/535.22
  6. Step 6: Final answer
    x = 542.62

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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.