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Finding the Fourth Proportional to 591.28, 815.90 and 355.18

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Solution

The fourth proportional to 591.28, 815.90 and 355.18 is: 490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.28 : 815.90 = 355.18 : x
  2. Step 2: Convert to fraction form
    591.28/815.90 = 355.18/x
  3. Step 3: Cross multiply
    591.28x = 815.90 × 355.18
  4. Step 4: Simplify right side
    591.28x = 289,791.36
  5. Step 5: Solve for x
    x = 289,791.36/591.28
  6. Step 6: Final answer
    x = 490.11

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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.