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Finding the Fourth Proportional to 357.57, 535.58 and 212.97

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Solution

The fourth proportional to 357.57, 535.58 and 212.97 is: 318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.57 : 535.58 = 212.97 : x
  2. Step 2: Convert to fraction form
    357.57/535.58 = 212.97/x
  3. Step 3: Cross multiply
    357.57x = 535.58 × 212.97
  4. Step 4: Simplify right side
    357.57x = 114,061.41
  5. Step 5: Solve for x
    x = 114,061.41/357.57
  6. Step 6: Final answer
    x = 318.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.