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Finding the Fourth Proportional to 108.24, 148.56 and 102.30

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Solution

The fourth proportional to 108.24, 148.56 and 102.30 is: 140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.24 : 148.56 = 102.30 : x
  2. Step 2: Convert to fraction form
    108.24/148.56 = 102.30/x
  3. Step 3: Cross multiply
    108.24x = 148.56 × 102.30
  4. Step 4: Simplify right side
    108.24x = 15,197.69
  5. Step 5: Solve for x
    x = 15,197.69/108.24
  6. Step 6: Final answer
    x = 140.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.