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Finding the Fourth Proportional to 353.50, 488.10 and 275.74

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Solution

The fourth proportional to 353.50, 488.10 and 275.74 is: 380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.50 : 488.10 = 275.74 : x
  2. Step 2: Convert to fraction form
    353.50/488.10 = 275.74/x
  3. Step 3: Cross multiply
    353.50x = 488.10 × 275.74
  4. Step 4: Simplify right side
    353.50x = 134,588.69
  5. Step 5: Solve for x
    x = 134,588.69/353.50
  6. Step 6: Final answer
    x = 380.73

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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.