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Finding the Fourth Proportional to 240.42, 359.31 and 215.04

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Solution

The fourth proportional to 240.42, 359.31 and 215.04 is: 321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.42 : 359.31 = 215.04 : x
  2. Step 2: Convert to fraction form
    240.42/359.31 = 215.04/x
  3. Step 3: Cross multiply
    240.42x = 359.31 × 215.04
  4. Step 4: Simplify right side
    240.42x = 77,266.02
  5. Step 5: Solve for x
    x = 77,266.02/240.42
  6. Step 6: Final answer
    x = 321.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.