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Finding the Fourth Proportional to 97.98, 135.20 and 79.50

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Solution

The fourth proportional to 97.98, 135.20 and 79.50 is: 109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.98 : 135.20 = 79.50 : x
  2. Step 2: Convert to fraction form
    97.98/135.20 = 79.50/x
  3. Step 3: Cross multiply
    97.98x = 135.20 × 79.50
  4. Step 4: Simplify right side
    97.98x = 10,748.40
  5. Step 5: Solve for x
    x = 10,748.40/97.98
  6. Step 6: Final answer
    x = 109.70

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