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Finding the Fourth Proportional to 97.95, 135.18 and 56.49

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Solution

The fourth proportional to 97.95, 135.18 and 56.49 is: 77.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.95 : 135.18 = 56.49 : x
  2. Step 2: Convert to fraction form
    97.95/135.18 = 56.49/x
  3. Step 3: Cross multiply
    97.95x = 135.18 × 56.49
  4. Step 4: Simplify right side
    97.95x = 7,636.04
  5. Step 5: Solve for x
    x = 7,636.04/97.95
  6. Step 6: Final answer
    x = 77.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.