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Finding the Fourth Proportional to 425.29, 586.91 and 257.29

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Solution

The fourth proportional to 425.29, 586.91 and 257.29 is: 355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.29 : 586.91 = 257.29 : x
  2. Step 2: Convert to fraction form
    425.29/586.91 = 257.29/x
  3. Step 3: Cross multiply
    425.29x = 586.91 × 257.29
  4. Step 4: Simplify right side
    425.29x = 151,006.07
  5. Step 5: Solve for x
    x = 151,006.07/425.29
  6. Step 6: Final answer
    x = 355.07

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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.