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Finding the Fourth Proportional to 279.88, 384.31 and 237.94

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Solution

The fourth proportional to 279.88, 384.31 and 237.94 is: 326.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.88 : 384.31 = 237.94 : x
  2. Step 2: Convert to fraction form
    279.88/384.31 = 237.94/x
  3. Step 3: Cross multiply
    279.88x = 384.31 × 237.94
  4. Step 4: Simplify right side
    279.88x = 91,442.72
  5. Step 5: Solve for x
    x = 91,442.72/279.88
  6. Step 6: Final answer
    x = 326.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.