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Finding the Fourth Proportional to 251.65, 377.41 and 170.47

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Solution

The fourth proportional to 251.65, 377.41 and 170.47 is: 255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.65 : 377.41 = 170.47 : x
  2. Step 2: Convert to fraction form
    251.65/377.41 = 170.47/x
  3. Step 3: Cross multiply
    251.65x = 377.41 × 170.47
  4. Step 4: Simplify right side
    251.65x = 64,337.08
  5. Step 5: Solve for x
    x = 64,337.08/251.65
  6. Step 6: Final answer
    x = 255.66

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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.