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Finding the Fourth Proportional to 111.68, 153.76 and 101.28

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Solution

The fourth proportional to 111.68, 153.76 and 101.28 is: 139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.68 : 153.76 = 101.28 : x
  2. Step 2: Convert to fraction form
    111.68/153.76 = 101.28/x
  3. Step 3: Cross multiply
    111.68x = 153.76 × 101.28
  4. Step 4: Simplify right side
    111.68x = 15,572.81
  5. Step 5: Solve for x
    x = 15,572.81/111.68
  6. Step 6: Final answer
    x = 139.44

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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.