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Finding the Fourth Proportional to 315.96, 471.32 and 293.69

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Solution

The fourth proportional to 315.96, 471.32 and 293.69 is: 438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.96 : 471.32 = 293.69 : x
  2. Step 2: Convert to fraction form
    315.96/471.32 = 293.69/x
  3. Step 3: Cross multiply
    315.96x = 471.32 × 293.69
  4. Step 4: Simplify right side
    315.96x = 138,418.15
  5. Step 5: Solve for x
    x = 138,418.15/315.96
  6. Step 6: Final answer
    x = 438.09

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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.