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Finding the Fourth Proportional to 415.55, 574.07 and 322.53

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Solution

The fourth proportional to 415.55, 574.07 and 322.53 is: 445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.55 : 574.07 = 322.53 : x
  2. Step 2: Convert to fraction form
    415.55/574.07 = 322.53/x
  3. Step 3: Cross multiply
    415.55x = 574.07 × 322.53
  4. Step 4: Simplify right side
    415.55x = 185,154.80
  5. Step 5: Solve for x
    x = 185,154.80/415.55
  6. Step 6: Final answer
    x = 445.57

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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.