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Finding the Fourth Proportional to 111.30, 153.57 and 74.40

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Solution

The fourth proportional to 111.30, 153.57 and 74.40 is: 102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.30 : 153.57 = 74.40 : x
  2. Step 2: Convert to fraction form
    111.30/153.57 = 74.40/x
  3. Step 3: Cross multiply
    111.30x = 153.57 × 74.40
  4. Step 4: Simplify right side
    111.30x = 11,425.31
  5. Step 5: Solve for x
    x = 11,425.31/111.30
  6. Step 6: Final answer
    x = 102.66

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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.