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Finding the Fourth Proportional to 233.04, 320.90 and 198.12

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Solution

The fourth proportional to 233.04, 320.90 and 198.12 is: 272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.04 : 320.90 = 198.12 : x
  2. Step 2: Convert to fraction form
    233.04/320.90 = 198.12/x
  3. Step 3: Cross multiply
    233.04x = 320.90 × 198.12
  4. Step 4: Simplify right side
    233.04x = 63,576.71
  5. Step 5: Solve for x
    x = 63,576.71/233.04
  6. Step 6: Final answer
    x = 272.81

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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.