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Finding the Fourth Proportional to 102.91, 153.67 and 97.64

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Solution

The fourth proportional to 102.91, 153.67 and 97.64 is: 145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.91 : 153.67 = 97.64 : x
  2. Step 2: Convert to fraction form
    102.91/153.67 = 97.64/x
  3. Step 3: Cross multiply
    102.91x = 153.67 × 97.64
  4. Step 4: Simplify right side
    102.91x = 15,004.34
  5. Step 5: Solve for x
    x = 15,004.34/102.91
  6. Step 6: Final answer
    x = 145.81

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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.