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Finding the Fourth Proportional to 361.28, 498.88 and 317.76

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Solution

The fourth proportional to 361.28, 498.88 and 317.76 is: 438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.28 : 498.88 = 317.76 : x
  2. Step 2: Convert to fraction form
    361.28/498.88 = 317.76/x
  3. Step 3: Cross multiply
    361.28x = 498.88 × 317.76
  4. Step 4: Simplify right side
    361.28x = 158,524.11
  5. Step 5: Solve for x
    x = 158,524.11/361.28
  6. Step 6: Final answer
    x = 438.78

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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.