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Finding the Fourth Proportional to 314.65, 470.04 and 227.24

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Solution

The fourth proportional to 314.65, 470.04 and 227.24 is: 339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.65 : 470.04 = 227.24 : x
  2. Step 2: Convert to fraction form
    314.65/470.04 = 227.24/x
  3. Step 3: Cross multiply
    314.65x = 470.04 × 227.24
  4. Step 4: Simplify right side
    314.65x = 106,808.69
  5. Step 5: Solve for x
    x = 106,808.69/314.65
  6. Step 6: Final answer
    x = 339.46

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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.