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Finding the Fourth Proportional to 425.31, 586.80 and 259.49

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Solution

The fourth proportional to 425.31, 586.80 and 259.49 is: 358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.31 : 586.80 = 259.49 : x
  2. Step 2: Convert to fraction form
    425.31/586.80 = 259.49/x
  3. Step 3: Cross multiply
    425.31x = 586.80 × 259.49
  4. Step 4: Simplify right side
    425.31x = 152,265.80
  5. Step 5: Solve for x
    x = 152,265.80/425.31
  6. Step 6: Final answer
    x = 358.01

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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.