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Finding the Fourth Proportional to 591.18, 815.70 and 355.11

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Solution

The fourth proportional to 591.18, 815.70 and 355.11 is: 489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.18 : 815.70 = 355.11 : x
  2. Step 2: Convert to fraction form
    591.18/815.70 = 355.11/x
  3. Step 3: Cross multiply
    591.18x = 815.70 × 355.11
  4. Step 4: Simplify right side
    591.18x = 289,663.23
  5. Step 5: Solve for x
    x = 289,663.23/591.18
  6. Step 6: Final answer
    x = 489.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.