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Finding the Fourth Proportional to 251.30, 378.68 and 208.93

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Solution

The fourth proportional to 251.30, 378.68 and 208.93 is: 314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.30 : 378.68 = 208.93 : x
  2. Step 2: Convert to fraction form
    251.30/378.68 = 208.93/x
  3. Step 3: Cross multiply
    251.30x = 378.68 × 208.93
  4. Step 4: Simplify right side
    251.30x = 79,117.61
  5. Step 5: Solve for x
    x = 79,117.61/251.30
  6. Step 6: Final answer
    x = 314.83

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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.