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Finding the Fourth Proportional to 238.01, 357.02 and 146.74

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Solution

The fourth proportional to 238.01, 357.02 and 146.74 is: 220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.01 : 357.02 = 146.74 : x
  2. Step 2: Convert to fraction form
    238.01/357.02 = 146.74/x
  3. Step 3: Cross multiply
    238.01x = 357.02 × 146.74
  4. Step 4: Simplify right side
    238.01x = 52,388.38
  5. Step 5: Solve for x
    x = 52,388.38/238.01
  6. Step 6: Final answer
    x = 220.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.