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Finding the Fourth Proportional to 315.27, 433.32 and 278.21

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Solution

The fourth proportional to 315.27, 433.32 and 278.21 is: 382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.27 : 433.32 = 278.21 : x
  2. Step 2: Convert to fraction form
    315.27/433.32 = 278.21/x
  3. Step 3: Cross multiply
    315.27x = 433.32 × 278.21
  4. Step 4: Simplify right side
    315.27x = 120,551.79
  5. Step 5: Solve for x
    x = 120,551.79/315.27
  6. Step 6: Final answer
    x = 382.38

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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.