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Finding the Fourth Proportional to 233.55, 320.49 and 229.10

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Solution

The fourth proportional to 233.55, 320.49 and 229.10 is: 314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.55 : 320.49 = 229.10 : x
  2. Step 2: Convert to fraction form
    233.55/320.49 = 229.10/x
  3. Step 3: Cross multiply
    233.55x = 320.49 × 229.10
  4. Step 4: Simplify right side
    233.55x = 73,422.66
  5. Step 5: Solve for x
    x = 73,422.66/233.55
  6. Step 6: Final answer
    x = 314.38

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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.