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Finding the Fourth Proportional to 312.91, 469.22 and 117.83

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Solution

The fourth proportional to 312.91, 469.22 and 117.83 is: 176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.91 : 469.22 = 117.83 : x
  2. Step 2: Convert to fraction form
    312.91/469.22 = 117.83/x
  3. Step 3: Cross multiply
    312.91x = 469.22 × 117.83
  4. Step 4: Simplify right side
    312.91x = 55,288.19
  5. Step 5: Solve for x
    x = 55,288.19/312.91
  6. Step 6: Final answer
    x = 176.69

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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.