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Finding the Fourth Proportional to 97.98, 145.92 and 96.90

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Solution

The fourth proportional to 97.98, 145.92 and 96.90 is: 144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.98 : 145.92 = 96.90 : x
  2. Step 2: Convert to fraction form
    97.98/145.92 = 96.90/x
  3. Step 3: Cross multiply
    97.98x = 145.92 × 96.90
  4. Step 4: Simplify right side
    97.98x = 14,139.65
  5. Step 5: Solve for x
    x = 14,139.65/97.98
  6. Step 6: Final answer
    x = 144.31

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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.