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Finding the Fourth Proportional to 279.40, 417.18 and 260.68

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Solution

The fourth proportional to 279.40, 417.18 and 260.68 is: 389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.40 : 417.18 = 260.68 : x
  2. Step 2: Convert to fraction form
    279.40/417.18 = 260.68/x
  3. Step 3: Cross multiply
    279.40x = 417.18 × 260.68
  4. Step 4: Simplify right side
    279.40x = 108,750.48
  5. Step 5: Solve for x
    x = 108,750.48/279.40
  6. Step 6: Final answer
    x = 389.23

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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.