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Finding the Fourth Proportional to 425.14, 586.50 and 250.38

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Solution

The fourth proportional to 425.14, 586.50 and 250.38 is: 345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.14 : 586.50 = 250.38 : x
  2. Step 2: Convert to fraction form
    425.14/586.50 = 250.38/x
  3. Step 3: Cross multiply
    425.14x = 586.50 × 250.38
  4. Step 4: Simplify right side
    425.14x = 146,847.87
  5. Step 5: Solve for x
    x = 146,847.87/425.14
  6. Step 6: Final answer
    x = 345.41

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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.