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Finding the Fourth Proportional to 233.19, 347.97 and 214.90

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Solution

The fourth proportional to 233.19, 347.97 and 214.90 is: 320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.19 : 347.97 = 214.90 : x
  2. Step 2: Convert to fraction form
    233.19/347.97 = 214.90/x
  3. Step 3: Cross multiply
    233.19x = 347.97 × 214.90
  4. Step 4: Simplify right side
    233.19x = 74,778.75
  5. Step 5: Solve for x
    x = 74,778.75/233.19
  6. Step 6: Final answer
    x = 320.68

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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.