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Finding the Fourth Proportional to 425.14, 586.61 and 238.60

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Solution

The fourth proportional to 425.14, 586.61 and 238.60 is: 329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.14 : 586.61 = 238.60 : x
  2. Step 2: Convert to fraction form
    425.14/586.61 = 238.60/x
  3. Step 3: Cross multiply
    425.14x = 586.61 × 238.60
  4. Step 4: Simplify right side
    425.14x = 139,965.15
  5. Step 5: Solve for x
    x = 139,965.15/425.14
  6. Step 6: Final answer
    x = 329.22

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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.