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Finding the Fourth Proportional to 353.07, 486.95 and 275.31

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Solution

The fourth proportional to 353.07, 486.95 and 275.31 is: 379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.07 : 486.95 = 275.31 : x
  2. Step 2: Convert to fraction form
    353.07/486.95 = 275.31/x
  3. Step 3: Cross multiply
    353.07x = 486.95 × 275.31
  4. Step 4: Simplify right side
    353.07x = 134,060.83
  5. Step 5: Solve for x
    x = 134,060.83/353.07
  6. Step 6: Final answer
    x = 379.70

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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.