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Finding the Fourth Proportional to 411.18, 567.56 and 278.59

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Solution

The fourth proportional to 411.18, 567.56 and 278.59 is: 384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.18 : 567.56 = 278.59 : x
  2. Step 2: Convert to fraction form
    411.18/567.56 = 278.59/x
  3. Step 3: Cross multiply
    411.18x = 567.56 × 278.59
  4. Step 4: Simplify right side
    411.18x = 158,115.32
  5. Step 5: Solve for x
    x = 158,115.32/411.18
  6. Step 6: Final answer
    x = 384.54

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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.