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Finding the Fourth Proportional to 591.16, 815.82 and 355.15

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Solution

The fourth proportional to 591.16, 815.82 and 355.15 is: 490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.16 : 815.82 = 355.15 : x
  2. Step 2: Convert to fraction form
    591.16/815.82 = 355.15/x
  3. Step 3: Cross multiply
    591.16x = 815.82 × 355.15
  4. Step 4: Simplify right side
    591.16x = 289,734.39
  5. Step 5: Solve for x
    x = 289,734.39/591.16
  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.