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Finding the Fourth Proportional to 280.55, 385.07 and 248.76

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Solution

The fourth proportional to 280.55, 385.07 and 248.76 is: 341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.55 : 385.07 = 248.76 : x
  2. Step 2: Convert to fraction form
    280.55/385.07 = 248.76/x
  3. Step 3: Cross multiply
    280.55x = 385.07 × 248.76
  4. Step 4: Simplify right side
    280.55x = 95,788.77
  5. Step 5: Solve for x
    x = 95,788.77/280.55
  6. Step 6: Final answer
    x = 341.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.