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Finding the Fourth Proportional to 308.91, 424.52 and 294.64

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Solution

The fourth proportional to 308.91, 424.52 and 294.64 is: 404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.91 : 424.52 = 294.64 : x
  2. Step 2: Convert to fraction form
    308.91/424.52 = 294.64/x
  3. Step 3: Cross multiply
    308.91x = 424.52 × 294.64
  4. Step 4: Simplify right side
    308.91x = 125,080.57
  5. Step 5: Solve for x
    x = 125,080.57/308.91
  6. Step 6: Final answer
    x = 404.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.