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Finding the Fourth Proportional to 312.91, 469.08 and 117.78

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Solution

The fourth proportional to 312.91, 469.08 and 117.78 is: 176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.91 : 469.08 = 117.78 : x
  2. Step 2: Convert to fraction form
    312.91/469.08 = 117.78/x
  3. Step 3: Cross multiply
    312.91x = 469.08 × 117.78
  4. Step 4: Simplify right side
    312.91x = 55,248.24
  5. Step 5: Solve for x
    x = 55,248.24/312.91
  6. Step 6: Final answer
    x = 176.56

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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.