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Finding the Fourth Proportional to 410.25, 565.05 and 322.77

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Solution

The fourth proportional to 410.25, 565.05 and 322.77 is: 444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.25 : 565.05 = 322.77 : x
  2. Step 2: Convert to fraction form
    410.25/565.05 = 322.77/x
  3. Step 3: Cross multiply
    410.25x = 565.05 × 322.77
  4. Step 4: Simplify right side
    410.25x = 182,381.19
  5. Step 5: Solve for x
    x = 182,381.19/410.25
  6. Step 6: Final answer
    x = 444.56

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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.