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Finding the Fourth Proportional to 233.76, 349.02 and 213.24

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Solution

The fourth proportional to 233.76, 349.02 and 213.24 is: 318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.76 : 349.02 = 213.24 : x
  2. Step 2: Convert to fraction form
    233.76/349.02 = 213.24/x
  3. Step 3: Cross multiply
    233.76x = 349.02 × 213.24
  4. Step 4: Simplify right side
    233.76x = 74,425.02
  5. Step 5: Solve for x
    x = 74,425.02/233.76
  6. Step 6: Final answer
    x = 318.38

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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.