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Finding the Fourth Proportional to 432.78, 597.12 and 246.27

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Solution

The fourth proportional to 432.78, 597.12 and 246.27 is: 339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.78 : 597.12 = 246.27 : x
  2. Step 2: Convert to fraction form
    432.78/597.12 = 246.27/x
  3. Step 3: Cross multiply
    432.78x = 597.12 × 246.27
  4. Step 4: Simplify right side
    432.78x = 147,052.74
  5. Step 5: Solve for x
    x = 147,052.74/432.78
  6. Step 6: Final answer
    x = 339.79

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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.