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Finding the Fourth Proportional to 231.86, 319.76 and 153.18

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Solution

The fourth proportional to 231.86, 319.76 and 153.18 is: 211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.86 : 319.76 = 153.18 : x
  2. Step 2: Convert to fraction form
    231.86/319.76 = 153.18/x
  3. Step 3: Cross multiply
    231.86x = 319.76 × 153.18
  4. Step 4: Simplify right side
    231.86x = 48,979.88
  5. Step 5: Solve for x
    x = 48,979.88/231.86
  6. Step 6: Final answer
    x = 211.25

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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.