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Finding the Fourth Proportional to 410.90, 567.14 and 253.66

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Solution

The fourth proportional to 410.90, 567.14 and 253.66 is: 350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.90 : 567.14 = 253.66 : x
  2. Step 2: Convert to fraction form
    410.90/567.14 = 253.66/x
  3. Step 3: Cross multiply
    410.90x = 567.14 × 253.66
  4. Step 4: Simplify right side
    410.90x = 143,862.78
  5. Step 5: Solve for x
    x = 143,862.78/410.90
  6. Step 6: Final answer
    x = 350.12

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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.