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Finding the Fourth Proportional to 332.03, 458.22 and 282.08

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Solution

The fourth proportional to 332.03, 458.22 and 282.08 is: 389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.03 : 458.22 = 282.08 : x
  2. Step 2: Convert to fraction form
    332.03/458.22 = 282.08/x
  3. Step 3: Cross multiply
    332.03x = 458.22 × 282.08
  4. Step 4: Simplify right side
    332.03x = 129,254.70
  5. Step 5: Solve for x
    x = 129,254.70/332.03
  6. Step 6: Final answer
    x = 389.29

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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.