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Finding the Fourth Proportional to 233.90, 349.20 and 178.77

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Solution

The fourth proportional to 233.90, 349.20 and 178.77 is: 266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.90 : 349.20 = 178.77 : x
  2. Step 2: Convert to fraction form
    233.90/349.20 = 178.77/x
  3. Step 3: Cross multiply
    233.90x = 349.20 × 178.77
  4. Step 4: Simplify right side
    233.90x = 62,426.39
  5. Step 5: Solve for x
    x = 62,426.39/233.90
  6. Step 6: Final answer
    x = 266.89

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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.