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Finding the Fourth Proportional to 312.92, 469.61 and 118.11

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Solution

The fourth proportional to 312.92, 469.61 and 118.11 is: 177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.92 : 469.61 = 118.11 : x
  2. Step 2: Convert to fraction form
    312.92/469.61 = 118.11/x
  3. Step 3: Cross multiply
    312.92x = 469.61 × 118.11
  4. Step 4: Simplify right side
    312.92x = 55,462.70
  5. Step 5: Solve for x
    x = 55,462.70/312.92
  6. Step 6: Final answer
    x = 177.25

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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.