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Finding the Fourth Proportional to 846.72, 1,269.92 and 230.34

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Solution

The fourth proportional to 846.72, 1,269.92 and 230.34 is: 345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.72 : 1,269.92 = 230.34 : x
  2. Step 2: Convert to fraction form
    846.72/1,269.92 = 230.34/x
  3. Step 3: Cross multiply
    846.72x = 1,269.92 × 230.34
  4. Step 4: Simplify right side
    846.72x = 292,512.22
  5. Step 5: Solve for x
    x = 292,512.22/846.72
  6. Step 6: Final answer
    x = 345.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.