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Finding the Fourth Proportional to 477.96, 659.75 and 310.14

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Solution

The fourth proportional to 477.96, 659.75 and 310.14 is: 428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.96 : 659.75 = 310.14 : x
  2. Step 2: Convert to fraction form
    477.96/659.75 = 310.14/x
  3. Step 3: Cross multiply
    477.96x = 659.75 × 310.14
  4. Step 4: Simplify right side
    477.96x = 204,613.31
  5. Step 5: Solve for x
    x = 204,613.31/477.96
  6. Step 6: Final answer
    x = 428.10

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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.