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Finding the Fourth Proportional to 231.48, 318.96 and 176.22

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Solution

The fourth proportional to 231.48, 318.96 and 176.22 is: 242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.48 : 318.96 = 176.22 : x
  2. Step 2: Convert to fraction form
    231.48/318.96 = 176.22/x
  3. Step 3: Cross multiply
    231.48x = 318.96 × 176.22
  4. Step 4: Simplify right side
    231.48x = 56,207.13
  5. Step 5: Solve for x
    x = 56,207.13/231.48
  6. Step 6: Final answer
    x = 242.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.