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Finding the Fourth Proportional to 425.40, 587.28 and 292.70

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Solution

The fourth proportional to 425.40, 587.28 and 292.70 is: 404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.40 : 587.28 = 292.70 : x
  2. Step 2: Convert to fraction form
    425.40/587.28 = 292.70/x
  3. Step 3: Cross multiply
    425.40x = 587.28 × 292.70
  4. Step 4: Simplify right side
    425.40x = 171,896.12
  5. Step 5: Solve for x
    x = 171,896.12/425.40
  6. Step 6: Final answer
    x = 404.08

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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.