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Finding the Fourth Proportional to 98.55, 135.93 and 97.03

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Solution

The fourth proportional to 98.55, 135.93 and 97.03 is: 133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.55 : 135.93 = 97.03 : x
  2. Step 2: Convert to fraction form
    98.55/135.93 = 97.03/x
  3. Step 3: Cross multiply
    98.55x = 135.93 × 97.03
  4. Step 4: Simplify right side
    98.55x = 13,188.80
  5. Step 5: Solve for x
    x = 13,188.80/98.55
  6. Step 6: Final answer
    x = 133.83

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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.