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Finding the Fourth Proportional to 233.97, 349.25 and 214.71

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Solution

The fourth proportional to 233.97, 349.25 and 214.71 is: 320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.97 : 349.25 = 214.71 : x
  2. Step 2: Convert to fraction form
    233.97/349.25 = 214.71/x
  3. Step 3: Cross multiply
    233.97x = 349.25 × 214.71
  4. Step 4: Simplify right side
    233.97x = 74,988.00
  5. Step 5: Solve for x
    x = 74,988.00/233.97
  6. Step 6: Final answer
    x = 320.50

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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.