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Finding the Fourth Proportional to 529.46, 730.75 and 308.40

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Solution

The fourth proportional to 529.46, 730.75 and 308.40 is: 425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.46 : 730.75 = 308.40 : x
  2. Step 2: Convert to fraction form
    529.46/730.75 = 308.40/x
  3. Step 3: Cross multiply
    529.46x = 730.75 × 308.40
  4. Step 4: Simplify right side
    529.46x = 225,363.30
  5. Step 5: Solve for x
    x = 225,363.30/529.46
  6. Step 6: Final answer
    x = 425.65

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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.