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Finding the Fourth Proportional to 529.78, 731.12 and 293.77

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Solution

The fourth proportional to 529.78, 731.12 and 293.77 is: 405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.78 : 731.12 = 293.77 : x
  2. Step 2: Convert to fraction form
    529.78/731.12 = 293.77/x
  3. Step 3: Cross multiply
    529.78x = 731.12 × 293.77
  4. Step 4: Simplify right side
    529.78x = 214,781.12
  5. Step 5: Solve for x
    x = 214,781.12/529.78
  6. Step 6: Final answer
    x = 405.42

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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.