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Finding the Fourth Proportional to 357.38, 533.85 and 253.85

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Solution

The fourth proportional to 357.38, 533.85 and 253.85 is: 379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.38 : 533.85 = 253.85 : x
  2. Step 2: Convert to fraction form
    357.38/533.85 = 253.85/x
  3. Step 3: Cross multiply
    357.38x = 533.85 × 253.85
  4. Step 4: Simplify right side
    357.38x = 135,515.15
  5. Step 5: Solve for x
    x = 135,515.15/357.38
  6. Step 6: Final answer
    x = 379.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.