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Finding the Fourth Proportional to 532.78, 735.30 and 299.91

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Solution

The fourth proportional to 532.78, 735.30 and 299.91 is: 413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.78 : 735.30 = 299.91 : x
  2. Step 2: Convert to fraction form
    532.78/735.30 = 299.91/x
  3. Step 3: Cross multiply
    532.78x = 735.30 × 299.91
  4. Step 4: Simplify right side
    532.78x = 220,522.32
  5. Step 5: Solve for x
    x = 220,522.32/532.78
  6. Step 6: Final answer
    x = 413.91

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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.