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Finding the Fourth Proportional to 425.19, 586.74 and 267.85

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Solution

The fourth proportional to 425.19, 586.74 and 267.85 is: 369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.19 : 586.74 = 267.85 : x
  2. Step 2: Convert to fraction form
    425.19/586.74 = 267.85/x
  3. Step 3: Cross multiply
    425.19x = 586.74 × 267.85
  4. Step 4: Simplify right side
    425.19x = 157,160.05
  5. Step 5: Solve for x
    x = 157,160.05/425.19
  6. Step 6: Final answer
    x = 369.62

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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.