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Finding the Fourth Proportional to 432.80, 597.20 and 246.24

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Solution

The fourth proportional to 432.80, 597.20 and 246.24 is: 339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.80 : 597.20 = 246.24 : x
  2. Step 2: Convert to fraction form
    432.80/597.20 = 246.24/x
  3. Step 3: Cross multiply
    432.80x = 597.20 × 246.24
  4. Step 4: Simplify right side
    432.80x = 147,054.53
  5. Step 5: Solve for x
    x = 147,054.53/432.80
  6. Step 6: Final answer
    x = 339.77

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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.