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Finding the Fourth Proportional to 233.61, 322 and 154.90

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Solution

The fourth proportional to 233.61, 322 and 154.90 is: 213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.61 : 322 = 154.90 : x
  2. Step 2: Convert to fraction form
    233.61/322 = 154.90/x
  3. Step 3: Cross multiply
    233.61x = 322 × 154.90
  4. Step 4: Simplify right side
    233.61x = 49,877.80
  5. Step 5: Solve for x
    x = 49,877.80/233.61
  6. Step 6: Final answer
    x = 213.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.