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Finding the Fourth Proportional to 102.97, 153.77 and 91.63

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Solution

The fourth proportional to 102.97, 153.77 and 91.63 is: 136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.97 : 153.77 = 91.63 : x
  2. Step 2: Convert to fraction form
    102.97/153.77 = 91.63/x
  3. Step 3: Cross multiply
    102.97x = 153.77 × 91.63
  4. Step 4: Simplify right side
    102.97x = 14,089.18
  5. Step 5: Solve for x
    x = 14,089.18/102.97
  6. Step 6: Final answer
    x = 136.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.