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Finding the Fourth Proportional to 155.38, 214.08 and 106.17

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Solution

The fourth proportional to 155.38, 214.08 and 106.17 is: 146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.38 : 214.08 = 106.17 : x
  2. Step 2: Convert to fraction form
    155.38/214.08 = 106.17/x
  3. Step 3: Cross multiply
    155.38x = 214.08 × 106.17
  4. Step 4: Simplify right side
    155.38x = 22,728.87
  5. Step 5: Solve for x
    x = 22,728.87/155.38
  6. Step 6: Final answer
    x = 146.28

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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.