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Finding the Fourth Proportional to 425.12, 586.66 and 238.62

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Solution

The fourth proportional to 425.12, 586.66 and 238.62 is: 329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.12 : 586.66 = 238.62 : x
  2. Step 2: Convert to fraction form
    425.12/586.66 = 238.62/x
  3. Step 3: Cross multiply
    425.12x = 586.66 × 238.62
  4. Step 4: Simplify right side
    425.12x = 139,988.21
  5. Step 5: Solve for x
    x = 139,988.21/425.12
  6. Step 6: Final answer
    x = 329.29

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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.