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Finding the Fourth Proportional to 315.37, 472.24 and 217.65

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Solution

The fourth proportional to 315.37, 472.24 and 217.65 is: 325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.37 : 472.24 = 217.65 : x
  2. Step 2: Convert to fraction form
    315.37/472.24 = 217.65/x
  3. Step 3: Cross multiply
    315.37x = 472.24 × 217.65
  4. Step 4: Simplify right side
    315.37x = 102,783.04
  5. Step 5: Solve for x
    x = 102,783.04/315.37
  6. Step 6: Final answer
    x = 325.91

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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.