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Finding the Fourth Proportional to 279.46, 416.55 and 258.69

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Solution

The fourth proportional to 279.46, 416.55 and 258.69 is: 385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.46 : 416.55 = 258.69 : x
  2. Step 2: Convert to fraction form
    279.46/416.55 = 258.69/x
  3. Step 3: Cross multiply
    279.46x = 416.55 × 258.69
  4. Step 4: Simplify right side
    279.46x = 107,757.32
  5. Step 5: Solve for x
    x = 107,757.32/279.46
  6. Step 6: Final answer
    x = 385.59

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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.