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Finding the Fourth Proportional to 425.05, 586.43 and 269.89

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Solution

The fourth proportional to 425.05, 586.43 and 269.89 is: 372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.05 : 586.43 = 269.89 : x
  2. Step 2: Convert to fraction form
    425.05/586.43 = 269.89/x
  3. Step 3: Cross multiply
    425.05x = 586.43 × 269.89
  4. Step 4: Simplify right side
    425.05x = 158,270.24
  5. Step 5: Solve for x
    x = 158,270.24/425.05
  6. Step 6: Final answer
    x = 372.36

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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.