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Finding the Fourth Proportional to 211.91, 319.10 and 154.53

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Solution

The fourth proportional to 211.91, 319.10 and 154.53 is: 232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.91 : 319.10 = 154.53 : x
  2. Step 2: Convert to fraction form
    211.91/319.10 = 154.53/x
  3. Step 3: Cross multiply
    211.91x = 319.10 × 154.53
  4. Step 4: Simplify right side
    211.91x = 49,309.75
  5. Step 5: Solve for x
    x = 49,309.75/211.91
  6. Step 6: Final answer
    x = 232.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.