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Finding the Fourth Proportional to 231.16, 318.84 and 202

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Solution

The fourth proportional to 231.16, 318.84 and 202 is: 278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.16 : 318.84 = 202 : x
  2. Step 2: Convert to fraction form
    231.16/318.84 = 202/x
  3. Step 3: Cross multiply
    231.16x = 318.84 × 202
  4. Step 4: Simplify right side
    231.16x = 64,405.68
  5. Step 5: Solve for x
    x = 64,405.68/231.16
  6. Step 6: Final answer
    x = 278.62

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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.