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Finding the Fourth Proportional to 410.99, 615.29 and 215.53

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Solution

The fourth proportional to 410.99, 615.29 and 215.53 is: 322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.99 : 615.29 = 215.53 : x
  2. Step 2: Convert to fraction form
    410.99/615.29 = 215.53/x
  3. Step 3: Cross multiply
    410.99x = 615.29 × 215.53
  4. Step 4: Simplify right side
    410.99x = 132,611.44
  5. Step 5: Solve for x
    x = 132,611.44/410.99
  6. Step 6: Final answer
    x = 322.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.