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Finding the Fourth Proportional to 155.11, 214.05 and 85.17

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Solution

The fourth proportional to 155.11, 214.05 and 85.17 is: 117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.11 : 214.05 = 85.17 : x
  2. Step 2: Convert to fraction form
    155.11/214.05 = 85.17/x
  3. Step 3: Cross multiply
    155.11x = 214.05 × 85.17
  4. Step 4: Simplify right side
    155.11x = 18,229.71
  5. Step 5: Solve for x
    x = 18,229.71/155.11
  6. Step 6: Final answer
    x = 117.53

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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.