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Finding the Fourth Proportional to 529.76, 731.06 and 293.74

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Solution

The fourth proportional to 529.76, 731.06 and 293.74 is: 405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.76 : 731.06 = 293.74 : x
  2. Step 2: Convert to fraction form
    529.76/731.06 = 293.74/x
  3. Step 3: Cross multiply
    529.76x = 731.06 × 293.74
  4. Step 4: Simplify right side
    529.76x = 214,740.47
  5. Step 5: Solve for x
    x = 214,740.47/529.76
  6. Step 6: Final answer
    x = 405.35

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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.