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Finding the Fourth Proportional to 102.53, 153.80 and 92.31

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Solution

The fourth proportional to 102.53, 153.80 and 92.31 is: 138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.53 : 153.80 = 92.31 : x
  2. Step 2: Convert to fraction form
    102.53/153.80 = 92.31/x
  3. Step 3: Cross multiply
    102.53x = 153.80 × 92.31
  4. Step 4: Simplify right side
    102.53x = 14,196.59
  5. Step 5: Solve for x
    x = 14,196.59/102.53
  6. Step 6: Final answer
    x = 138.46

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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.