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Finding the Fourth Proportional to 477.12, 658.27 and 309.07

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Solution

The fourth proportional to 477.12, 658.27 and 309.07 is: 426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.12 : 658.27 = 309.07 : x
  2. Step 2: Convert to fraction form
    477.12/658.27 = 309.07/x
  3. Step 3: Cross multiply
    477.12x = 658.27 × 309.07
  4. Step 4: Simplify right side
    477.12x = 203,451.51
  5. Step 5: Solve for x
    x = 203,451.51/477.12
  6. Step 6: Final answer
    x = 426.42

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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.