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Finding the Fourth Proportional to 315.42, 472.32 and 199.59

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Solution

The fourth proportional to 315.42, 472.32 and 199.59 is: 298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.42 : 472.32 = 199.59 : x
  2. Step 2: Convert to fraction form
    315.42/472.32 = 199.59/x
  3. Step 3: Cross multiply
    315.42x = 472.32 × 199.59
  4. Step 4: Simplify right side
    315.42x = 94,270.35
  5. Step 5: Solve for x
    x = 94,270.35/315.42
  6. Step 6: Final answer
    x = 298.87

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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.