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Finding the Fourth Proportional to 97.16, 144.65 and 96.68

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Solution

The fourth proportional to 97.16, 144.65 and 96.68 is: 143.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.16 : 144.65 = 96.68 : x
  2. Step 2: Convert to fraction form
    97.16/144.65 = 96.68/x
  3. Step 3: Cross multiply
    97.16x = 144.65 × 96.68
  4. Step 4: Simplify right side
    97.16x = 13,984.76
  5. Step 5: Solve for x
    x = 13,984.76/97.16
  6. Step 6: Final answer
    x = 143.94

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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.