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Finding the Fourth Proportional to 315.82, 474.36 and 194.32

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Solution

The fourth proportional to 315.82, 474.36 and 194.32 is: 291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.82 : 474.36 = 194.32 : x
  2. Step 2: Convert to fraction form
    315.82/474.36 = 194.32/x
  3. Step 3: Cross multiply
    315.82x = 474.36 × 194.32
  4. Step 4: Simplify right side
    315.82x = 92,177.64
  5. Step 5: Solve for x
    x = 92,177.64/315.82
  6. Step 6: Final answer
    x = 291.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.