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Finding the Fourth Proportional to 103.28, 153.86 and 97.06

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Solution

The fourth proportional to 103.28, 153.86 and 97.06 is: 144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.28 : 153.86 = 97.06 : x
  2. Step 2: Convert to fraction form
    103.28/153.86 = 97.06/x
  3. Step 3: Cross multiply
    103.28x = 153.86 × 97.06
  4. Step 4: Simplify right side
    103.28x = 14,933.65
  5. Step 5: Solve for x
    x = 14,933.65/103.28
  6. Step 6: Final answer
    x = 144.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.