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Finding the Fourth Proportional to 233.47, 320.24 and 204.31

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Solution

The fourth proportional to 233.47, 320.24 and 204.31 is: 280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.47 : 320.24 = 204.31 : x
  2. Step 2: Convert to fraction form
    233.47/320.24 = 204.31/x
  3. Step 3: Cross multiply
    233.47x = 320.24 × 204.31
  4. Step 4: Simplify right side
    233.47x = 65,428.23
  5. Step 5: Solve for x
    x = 65,428.23/233.47
  6. Step 6: Final answer
    x = 280.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.