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Finding the Fourth Proportional to 402.45, 602.37 and 216.88

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Solution

The fourth proportional to 402.45, 602.37 and 216.88 is: 324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.45 : 602.37 = 216.88 : x
  2. Step 2: Convert to fraction form
    402.45/602.37 = 216.88/x
  3. Step 3: Cross multiply
    402.45x = 602.37 × 216.88
  4. Step 4: Simplify right side
    402.45x = 130,642.01
  5. Step 5: Solve for x
    x = 130,642.01/402.45
  6. Step 6: Final answer
    x = 324.62

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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.