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Finding the Fourth Proportional to 315.91, 471.27 and 293.82

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Solution

The fourth proportional to 315.91, 471.27 and 293.82 is: 438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.91 : 471.27 = 293.82 : x
  2. Step 2: Convert to fraction form
    315.91/471.27 = 293.82/x
  3. Step 3: Cross multiply
    315.91x = 471.27 × 293.82
  4. Step 4: Simplify right side
    315.91x = 138,466.93
  5. Step 5: Solve for x
    x = 138,466.93/315.91
  6. Step 6: Final answer
    x = 438.31

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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.