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Finding the Fourth Proportional to 233.57, 349.54 and 214.36

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Solution

The fourth proportional to 233.57, 349.54 and 214.36 is: 320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.57 : 349.54 = 214.36 : x
  2. Step 2: Convert to fraction form
    233.57/349.54 = 214.36/x
  3. Step 3: Cross multiply
    233.57x = 349.54 × 214.36
  4. Step 4: Simplify right side
    233.57x = 74,925.98
  5. Step 5: Solve for x
    x = 74,925.98/233.57
  6. Step 6: Final answer
    x = 320.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.