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Finding the Fourth Proportional to 425.70, 587.34 and 301.68

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Solution

The fourth proportional to 425.70, 587.34 and 301.68 is: 416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.70 : 587.34 = 301.68 : x
  2. Step 2: Convert to fraction form
    425.70/587.34 = 301.68/x
  3. Step 3: Cross multiply
    425.70x = 587.34 × 301.68
  4. Step 4: Simplify right side
    425.70x = 177,188.73
  5. Step 5: Solve for x
    x = 177,188.73/425.70
  6. Step 6: Final answer
    x = 416.23

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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.