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Finding the Fourth Proportional to 345.65, 476.79 and 227.66

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Solution

The fourth proportional to 345.65, 476.79 and 227.66 is: 314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.65 : 476.79 = 227.66 : x
  2. Step 2: Convert to fraction form
    345.65/476.79 = 227.66/x
  3. Step 3: Cross multiply
    345.65x = 476.79 × 227.66
  4. Step 4: Simplify right side
    345.65x = 108,545.39
  5. Step 5: Solve for x
    x = 108,545.39/345.65
  6. Step 6: Final answer
    x = 314.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.