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Finding the Fourth Proportional to 301, 415.20 and 279.14

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Solution

The fourth proportional to 301, 415.20 and 279.14 is: 385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301 : 415.20 = 279.14 : x
  2. Step 2: Convert to fraction form
    301/415.20 = 279.14/x
  3. Step 3: Cross multiply
    301x = 415.20 × 279.14
  4. Step 4: Simplify right side
    301x = 115,898.93
  5. Step 5: Solve for x
    x = 115,898.93/301
  6. Step 6: Final answer
    x = 385.05

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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.