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Finding the Fourth Proportional to 319.68, 476.96 and 275.94

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Solution

The fourth proportional to 319.68, 476.96 and 275.94 is: 411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.68 : 476.96 = 275.94 : x
  2. Step 2: Convert to fraction form
    319.68/476.96 = 275.94/x
  3. Step 3: Cross multiply
    319.68x = 476.96 × 275.94
  4. Step 4: Simplify right side
    319.68x = 131,610.96
  5. Step 5: Solve for x
    x = 131,610.96/319.68
  6. Step 6: Final answer
    x = 411.70

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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.