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Finding the Fourth Proportional to 111.35, 153.71 and 74.45

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Solution

The fourth proportional to 111.35, 153.71 and 74.45 is: 102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.35 : 153.71 = 74.45 : x
  2. Step 2: Convert to fraction form
    111.35/153.71 = 74.45/x
  3. Step 3: Cross multiply
    111.35x = 153.71 × 74.45
  4. Step 4: Simplify right side
    111.35x = 11,442.57
  5. Step 5: Solve for x
    x = 11,442.57/111.35
  6. Step 6: Final answer
    x = 102.77

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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.