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Finding the Fourth Proportional to 233.08, 320.63 and 196.02

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Solution

The fourth proportional to 233.08, 320.63 and 196.02 is: 269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.08 : 320.63 = 196.02 : x
  2. Step 2: Convert to fraction form
    233.08/320.63 = 196.02/x
  3. Step 3: Cross multiply
    233.08x = 320.63 × 196.02
  4. Step 4: Simplify right side
    233.08x = 62,848.91
  5. Step 5: Solve for x
    x = 62,848.91/233.08
  6. Step 6: Final answer
    x = 269.65

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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.