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Finding the Fourth Proportional to 108.30, 150.11 and 97.50

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Solution

The fourth proportional to 108.30, 150.11 and 97.50 is: 135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.30 : 150.11 = 97.50 : x
  2. Step 2: Convert to fraction form
    108.30/150.11 = 97.50/x
  3. Step 3: Cross multiply
    108.30x = 150.11 × 97.50
  4. Step 4: Simplify right side
    108.30x = 14,635.24
  5. Step 5: Solve for x
    x = 14,635.24/108.30
  6. Step 6: Final answer
    x = 135.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.