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Finding the Fourth Proportional to 279.86, 417.79 and 261.33

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Solution

The fourth proportional to 279.86, 417.79 and 261.33 is: 390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.86 : 417.79 = 261.33 : x
  2. Step 2: Convert to fraction form
    279.86/417.79 = 261.33/x
  3. Step 3: Cross multiply
    279.86x = 417.79 × 261.33
  4. Step 4: Simplify right side
    279.86x = 109,178.35
  5. Step 5: Solve for x
    x = 109,178.35/279.86
  6. Step 6: Final answer
    x = 390.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.