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Finding the Fourth Proportional to 319.68, 440.10 and 275.76

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Solution

The fourth proportional to 319.68, 440.10 and 275.76 is: 379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.68 : 440.10 = 275.76 : x
  2. Step 2: Convert to fraction form
    319.68/440.10 = 275.76/x
  3. Step 3: Cross multiply
    319.68x = 440.10 × 275.76
  4. Step 4: Simplify right side
    319.68x = 121,361.98
  5. Step 5: Solve for x
    x = 121,361.98/319.68
  6. Step 6: Final answer
    x = 379.64

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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.