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Finding the Fourth Proportional to 279.75, 417.35 and 258.80

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Solution

The fourth proportional to 279.75, 417.35 and 258.80 is: 386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.75 : 417.35 = 258.80 : x
  2. Step 2: Convert to fraction form
    279.75/417.35 = 258.80/x
  3. Step 3: Cross multiply
    279.75x = 417.35 × 258.80
  4. Step 4: Simplify right side
    279.75x = 108,008.74
  5. Step 5: Solve for x
    x = 108,008.74/279.75
  6. Step 6: Final answer
    x = 386.09

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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.