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Finding the Fourth Proportional to 411.41, 567.54 and 278.57

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Solution

The fourth proportional to 411.41, 567.54 and 278.57 is: 384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.41 : 567.54 = 278.57 : x
  2. Step 2: Convert to fraction form
    411.41/567.54 = 278.57/x
  3. Step 3: Cross multiply
    411.41x = 567.54 × 278.57
  4. Step 4: Simplify right side
    411.41x = 158,101.04
  5. Step 5: Solve for x
    x = 158,101.04/411.41
  6. Step 6: Final answer
    x = 384.29

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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.