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Finding the Fourth Proportional to 153.72, 230.76 and 137.88

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Solution

The fourth proportional to 153.72, 230.76 and 137.88 is: 206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.72 : 230.76 = 137.88 : x
  2. Step 2: Convert to fraction form
    153.72/230.76 = 137.88/x
  3. Step 3: Cross multiply
    153.72x = 230.76 × 137.88
  4. Step 4: Simplify right side
    153.72x = 31,817.19
  5. Step 5: Solve for x
    x = 31,817.19/153.72
  6. Step 6: Final answer
    x = 206.98

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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.