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Finding the Fourth Proportional to 424.32, 585.92 and 293.76

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Solution

The fourth proportional to 424.32, 585.92 and 293.76 is: 405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.32 : 585.92 = 293.76 : x
  2. Step 2: Convert to fraction form
    424.32/585.92 = 293.76/x
  3. Step 3: Cross multiply
    424.32x = 585.92 × 293.76
  4. Step 4: Simplify right side
    424.32x = 172,119.86
  5. Step 5: Solve for x
    x = 172,119.86/424.32
  6. Step 6: Final answer
    x = 405.64

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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.