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Finding the Fourth Proportional to 532.28, 735.02 and 378.04

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Solution

The fourth proportional to 532.28, 735.02 and 378.04 is: 522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.28 : 735.02 = 378.04 : x
  2. Step 2: Convert to fraction form
    532.28/735.02 = 378.04/x
  3. Step 3: Cross multiply
    532.28x = 735.02 × 378.04
  4. Step 4: Simplify right side
    532.28x = 277,866.96
  5. Step 5: Solve for x
    x = 277,866.96/532.28
  6. Step 6: Final answer
    x = 522.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.