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Finding the Fourth Proportional to 238.53, 357.76 and 76.20

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Solution

The fourth proportional to 238.53, 357.76 and 76.20 is: 114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.53 : 357.76 = 76.20 : x
  2. Step 2: Convert to fraction form
    238.53/357.76 = 76.20/x
  3. Step 3: Cross multiply
    238.53x = 357.76 × 76.20
  4. Step 4: Simplify right side
    238.53x = 27,261.31
  5. Step 5: Solve for x
    x = 27,261.31/238.53
  6. Step 6: Final answer
    x = 114.29

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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.