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Finding the Fourth Proportional to 354.97, 488.64 and 292.69

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Solution

The fourth proportional to 354.97, 488.64 and 292.69 is: 402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.97 : 488.64 = 292.69 : x
  2. Step 2: Convert to fraction form
    354.97/488.64 = 292.69/x
  3. Step 3: Cross multiply
    354.97x = 488.64 × 292.69
  4. Step 4: Simplify right side
    354.97x = 143,020.04
  5. Step 5: Solve for x
    x = 143,020.04/354.97
  6. Step 6: Final answer
    x = 402.91

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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.