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Finding the Fourth Proportional to 280.55, 418.17 and 258.68

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Solution

The fourth proportional to 280.55, 418.17 and 258.68 is: 385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.55 : 418.17 = 258.68 : x
  2. Step 2: Convert to fraction form
    280.55/418.17 = 258.68/x
  3. Step 3: Cross multiply
    280.55x = 418.17 × 258.68
  4. Step 4: Simplify right side
    280.55x = 108,170.12
  5. Step 5: Solve for x
    x = 108,170.12/280.55
  6. Step 6: Final answer
    x = 385.57

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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.