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Finding the Fourth Proportional to 425.40, 587.12 and 257.49

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Solution

The fourth proportional to 425.40, 587.12 and 257.49 is: 355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.40 : 587.12 = 257.49 : x
  2. Step 2: Convert to fraction form
    425.40/587.12 = 257.49/x
  3. Step 3: Cross multiply
    425.40x = 587.12 × 257.49
  4. Step 4: Simplify right side
    425.40x = 151,177.53
  5. Step 5: Solve for x
    x = 151,177.53/425.40
  6. Step 6: Final answer
    x = 355.38

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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.