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Finding the Fourth Proportional to 251.27, 378.75 and 230.47

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Solution

The fourth proportional to 251.27, 378.75 and 230.47 is: 347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.27 : 378.75 = 230.47 : x
  2. Step 2: Convert to fraction form
    251.27/378.75 = 230.47/x
  3. Step 3: Cross multiply
    251.27x = 378.75 × 230.47
  4. Step 4: Simplify right side
    251.27x = 87,290.51
  5. Step 5: Solve for x
    x = 87,290.51/251.27
  6. Step 6: Final answer
    x = 347.40

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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.