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Finding the Fourth Proportional to 436.28, 601.80 and 342.87

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Solution

The fourth proportional to 436.28, 601.80 and 342.87 is: 472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.28 : 601.80 = 342.87 : x
  2. Step 2: Convert to fraction form
    436.28/601.80 = 342.87/x
  3. Step 3: Cross multiply
    436.28x = 601.80 × 342.87
  4. Step 4: Simplify right side
    436.28x = 206,339.01
  5. Step 5: Solve for x
    x = 206,339.01/436.28
  6. Step 6: Final answer
    x = 472.96

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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.