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Finding the Fourth Proportional to 109.59, 150.40 and 97.66

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Solution

The fourth proportional to 109.59, 150.40 and 97.66 is: 134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.59 : 150.40 = 97.66 : x
  2. Step 2: Convert to fraction form
    109.59/150.40 = 97.66/x
  3. Step 3: Cross multiply
    109.59x = 150.40 × 97.66
  4. Step 4: Simplify right side
    109.59x = 14,688.06
  5. Step 5: Solve for x
    x = 14,688.06/109.59
  6. Step 6: Final answer
    x = 134.03

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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.