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Finding the Fourth Proportional to 311.74, 430.14 and 187.48

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Solution

The fourth proportional to 311.74, 430.14 and 187.48 is: 258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.74 : 430.14 = 187.48 : x
  2. Step 2: Convert to fraction form
    311.74/430.14 = 187.48/x
  3. Step 3: Cross multiply
    311.74x = 430.14 × 187.48
  4. Step 4: Simplify right side
    311.74x = 80,642.65
  5. Step 5: Solve for x
    x = 80,642.65/311.74
  6. Step 6: Final answer
    x = 258.69

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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.