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Finding the Fourth Proportional to 155.92, 215 and 112.16

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Solution

The fourth proportional to 155.92, 215 and 112.16 is: 154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.92 : 215 = 112.16 : x
  2. Step 2: Convert to fraction form
    155.92/215 = 112.16/x
  3. Step 3: Cross multiply
    155.92x = 215 × 112.16
  4. Step 4: Simplify right side
    155.92x = 24,114.40
  5. Step 5: Solve for x
    x = 24,114.40/155.92
  6. Step 6: Final answer
    x = 154.66

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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.