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Finding the Fourth Proportional to 410.52, 567.25 and 328.31

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Solution

The fourth proportional to 410.52, 567.25 and 328.31 is: 453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.52 : 567.25 = 328.31 : x
  2. Step 2: Convert to fraction form
    410.52/567.25 = 328.31/x
  3. Step 3: Cross multiply
    410.52x = 567.25 × 328.31
  4. Step 4: Simplify right side
    410.52x = 186,230.79
  5. Step 5: Solve for x
    x = 186,230.79/410.52
  6. Step 6: Final answer
    x = 453.64

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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.