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Finding the Fourth Proportional to 410.83, 567.14 and 271.03

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Solution

The fourth proportional to 410.83, 567.14 and 271.03 is: 374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.83 : 567.14 = 271.03 : x
  2. Step 2: Convert to fraction form
    410.83/567.14 = 271.03/x
  3. Step 3: Cross multiply
    410.83x = 567.14 × 271.03
  4. Step 4: Simplify right side
    410.83x = 153,711.95
  5. Step 5: Solve for x
    x = 153,711.95/410.83
  6. Step 6: Final answer
    x = 374.15

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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.