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Finding the Fourth Proportional to 112.46, 153.12 and 112.10

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Solution

The fourth proportional to 112.46, 153.12 and 112.10 is: 152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.46 : 153.12 = 112.10 : x
  2. Step 2: Convert to fraction form
    112.46/153.12 = 112.10/x
  3. Step 3: Cross multiply
    112.46x = 153.12 × 112.10
  4. Step 4: Simplify right side
    112.46x = 17,164.75
  5. Step 5: Solve for x
    x = 17,164.75/112.46
  6. Step 6: Final answer
    x = 152.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.