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Finding the Fourth Proportional to 315.46, 433.00 and 279.71

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Solution

The fourth proportional to 315.46, 433.00 and 279.71 is: 383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.46 : 433.00 = 279.71 : x
  2. Step 2: Convert to fraction form
    315.46/433.00 = 279.71/x
  3. Step 3: Cross multiply
    315.46x = 433.00 × 279.71
  4. Step 4: Simplify right side
    315.46x = 121,110.87
  5. Step 5: Solve for x
    x = 121,110.87/315.46
  6. Step 6: Final answer
    x = 383.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.