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Finding the Fourth Proportional to 426.64, 588.56 and 251.86

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Solution

The fourth proportional to 426.64, 588.56 and 251.86 is: 347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.64 : 588.56 = 251.86 : x
  2. Step 2: Convert to fraction form
    426.64/588.56 = 251.86/x
  3. Step 3: Cross multiply
    426.64x = 588.56 × 251.86
  4. Step 4: Simplify right side
    426.64x = 148,234.72
  5. Step 5: Solve for x
    x = 148,234.72/426.64
  6. Step 6: Final answer
    x = 347.45

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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.