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Finding the Fourth Proportional to 1,100.42, 1,650.63 and 278.76

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Solution

The fourth proportional to 1,100.42, 1,650.63 and 278.76 is: 418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.42 : 1,650.63 = 278.76 : x
  2. Step 2: Convert to fraction form
    1,100.42/1,650.63 = 278.76/x
  3. Step 3: Cross multiply
    1,100.42x = 1,650.63 × 278.76
  4. Step 4: Simplify right side
    1,100.42x = 460,124.70
  5. Step 5: Solve for x
    x = 460,124.70/1,100.42
  6. Step 6: Final answer
    x = 418.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.