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Finding the Fourth Proportional to 310.38, 465.51 and 117.87

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Solution

The fourth proportional to 310.38, 465.51 and 117.87 is: 176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.38 : 465.51 = 117.87 : x
  2. Step 2: Convert to fraction form
    310.38/465.51 = 117.87/x
  3. Step 3: Cross multiply
    310.38x = 465.51 × 117.87
  4. Step 4: Simplify right side
    310.38x = 54,869.66
  5. Step 5: Solve for x
    x = 54,869.66/310.38
  6. Step 6: Final answer
    x = 176.78

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