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Finding the Fourth Proportional to 145.11, 217.36 and 117.78

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Solution

The fourth proportional to 145.11, 217.36 and 117.78 is: 176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.11 : 217.36 = 117.78 : x
  2. Step 2: Convert to fraction form
    145.11/217.36 = 117.78/x
  3. Step 3: Cross multiply
    145.11x = 217.36 × 117.78
  4. Step 4: Simplify right side
    145.11x = 25,600.66
  5. Step 5: Solve for x
    x = 25,600.66/145.11
  6. Step 6: Final answer
    x = 176.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.