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Finding the Fourth Proportional to 301.31, 414.92 and 279.53

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Solution

The fourth proportional to 301.31, 414.92 and 279.53 is: 384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.31 : 414.92 = 279.53 : x
  2. Step 2: Convert to fraction form
    301.31/414.92 = 279.53/x
  3. Step 3: Cross multiply
    301.31x = 414.92 × 279.53
  4. Step 4: Simplify right side
    301.31x = 115,981.19
  5. Step 5: Solve for x
    x = 115,981.19/301.31
  6. Step 6: Final answer
    x = 384.92

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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.