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Finding the Fourth Proportional to 279.97, 419.72 and 117.77

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Solution

The fourth proportional to 279.97, 419.72 and 117.77 is: 176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.97 : 419.72 = 117.77 : x
  2. Step 2: Convert to fraction form
    279.97/419.72 = 117.77/x
  3. Step 3: Cross multiply
    279.97x = 419.72 × 117.77
  4. Step 4: Simplify right side
    279.97x = 49,430.42
  5. Step 5: Solve for x
    x = 49,430.42/279.97
  6. Step 6: Final answer
    x = 176.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.