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Finding the Fourth Proportional to 233.03, 321.48 and 149.04

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Solution

The fourth proportional to 233.03, 321.48 and 149.04 is: 205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.03 : 321.48 = 149.04 : x
  2. Step 2: Convert to fraction form
    233.03/321.48 = 149.04/x
  3. Step 3: Cross multiply
    233.03x = 321.48 × 149.04
  4. Step 4: Simplify right side
    233.03x = 47,913.38
  5. Step 5: Solve for x
    x = 47,913.38/233.03
  6. Step 6: Final answer
    x = 205.61

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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.