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Finding the Fourth Proportional to 820.42, 1,230.54 and 243.25

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Solution

The fourth proportional to 820.42, 1,230.54 and 243.25 is: 364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.42 : 1,230.54 = 243.25 : x
  2. Step 2: Convert to fraction form
    820.42/1,230.54 = 243.25/x
  3. Step 3: Cross multiply
    820.42x = 1,230.54 × 243.25
  4. Step 4: Simplify right side
    820.42x = 299,328.86
  5. Step 5: Solve for x
    x = 299,328.86/820.42
  6. Step 6: Final answer
    x = 364.85

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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.