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Finding the Fourth Proportional to 280.01, 418.49 and 258.12

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Solution

The fourth proportional to 280.01, 418.49 and 258.12 is: 385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.01 : 418.49 = 258.12 : x
  2. Step 2: Convert to fraction form
    280.01/418.49 = 258.12/x
  3. Step 3: Cross multiply
    280.01x = 418.49 × 258.12
  4. Step 4: Simplify right side
    280.01x = 108,019.35
  5. Step 5: Solve for x
    x = 108,019.35/280.01
  6. Step 6: Final answer
    x = 385.78

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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.