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Finding the Fourth Proportional to 353.95, 530.74 and 134.57

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Solution

The fourth proportional to 353.95, 530.74 and 134.57 is: 201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.95 : 530.74 = 134.57 : x
  2. Step 2: Convert to fraction form
    353.95/530.74 = 134.57/x
  3. Step 3: Cross multiply
    353.95x = 530.74 × 134.57
  4. Step 4: Simplify right side
    353.95x = 71,420.93
  5. Step 5: Solve for x
    x = 71,420.93/353.95
  6. Step 6: Final answer
    x = 201.78

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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.