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Finding the Fourth Proportional to 425.01, 586.56 and 238.53

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Solution

The fourth proportional to 425.01, 586.56 and 238.53 is: 329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.01 : 586.56 = 238.53 : x
  2. Step 2: Convert to fraction form
    425.01/586.56 = 238.53/x
  3. Step 3: Cross multiply
    425.01x = 586.56 × 238.53
  4. Step 4: Simplify right side
    425.01x = 139,912.16
  5. Step 5: Solve for x
    x = 139,912.16/425.01
  6. Step 6: Final answer
    x = 329.20

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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.