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Finding the Fourth Proportional to 238.04, 356.01 and 140.30

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Solution

The fourth proportional to 238.04, 356.01 and 140.30 is: 209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.04 : 356.01 = 140.30 : x
  2. Step 2: Convert to fraction form
    238.04/356.01 = 140.30/x
  3. Step 3: Cross multiply
    238.04x = 356.01 × 140.30
  4. Step 4: Simplify right side
    238.04x = 49,946.42
  5. Step 5: Solve for x
    x = 49,946.42/238.04
  6. Step 6: Final answer
    x = 209.83

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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.