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Finding the Fourth Proportional to 279.67, 417.47 and 260.71

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Solution

The fourth proportional to 279.67, 417.47 and 260.71 is: 389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.67 : 417.47 = 260.71 : x
  2. Step 2: Convert to fraction form
    279.67/417.47 = 260.71/x
  3. Step 3: Cross multiply
    279.67x = 417.47 × 260.71
  4. Step 4: Simplify right side
    279.67x = 108,838.60
  5. Step 5: Solve for x
    x = 108,838.60/279.67
  6. Step 6: Final answer
    x = 389.17

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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.