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Finding the Fourth Proportional to 410.40, 564.98 and 322.92

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Solution

The fourth proportional to 410.40, 564.98 and 322.92 is: 444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.40 : 564.98 = 322.92 : x
  2. Step 2: Convert to fraction form
    410.40/564.98 = 322.92/x
  3. Step 3: Cross multiply
    410.40x = 564.98 × 322.92
  4. Step 4: Simplify right side
    410.40x = 182,441.73
  5. Step 5: Solve for x
    x = 182,441.73/410.40
  6. Step 6: Final answer
    x = 444.55

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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.