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Finding the Fourth Proportional to 411.29, 567.65 and 278.78

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Solution

The fourth proportional to 411.29, 567.65 and 278.78 is: 384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.29 : 567.65 = 278.78 : x
  2. Step 2: Convert to fraction form
    411.29/567.65 = 278.78/x
  3. Step 3: Cross multiply
    411.29x = 567.65 × 278.78
  4. Step 4: Simplify right side
    411.29x = 158,247.33
  5. Step 5: Solve for x
    x = 158,247.33/411.29
  6. Step 6: Final answer
    x = 384.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.