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Finding the Fourth Proportional to 476.65, 657.69 and 311.14

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Solution

The fourth proportional to 476.65, 657.69 and 311.14 is: 429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.65 : 657.69 = 311.14 : x
  2. Step 2: Convert to fraction form
    476.65/657.69 = 311.14/x
  3. Step 3: Cross multiply
    476.65x = 657.69 × 311.14
  4. Step 4: Simplify right side
    476.65x = 204,630.38
  5. Step 5: Solve for x
    x = 204,630.38/476.65
  6. Step 6: Final answer
    x = 429.31

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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.