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Finding the Fourth Proportional to 591.20, 816.00 and 342.48

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Solution

The fourth proportional to 591.20, 816.00 and 342.48 is: 472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.20 : 816.00 = 342.48 : x
  2. Step 2: Convert to fraction form
    591.20/816.00 = 342.48/x
  3. Step 3: Cross multiply
    591.20x = 816.00 × 342.48
  4. Step 4: Simplify right side
    591.20x = 279,468.02
  5. Step 5: Solve for x
    x = 279,468.02/591.20
  6. Step 6: Final answer
    x = 472.72

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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.