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Finding the Fourth Proportional to 279.74, 419.21 and 260.57

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Solution

The fourth proportional to 279.74, 419.21 and 260.57 is: 390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.74 : 419.21 = 260.57 : x
  2. Step 2: Convert to fraction form
    279.74/419.21 = 260.57/x
  3. Step 3: Cross multiply
    279.74x = 419.21 × 260.57
  4. Step 4: Simplify right side
    279.74x = 109,234.27
  5. Step 5: Solve for x
    x = 109,234.27/279.74
  6. Step 6: Final answer
    x = 390.48

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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.