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Finding the Fourth Proportional to 477.06, 658.39 and 290.65

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Solution

The fourth proportional to 477.06, 658.39 and 290.65 is: 401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.06 : 658.39 = 290.65 : x
  2. Step 2: Convert to fraction form
    477.06/658.39 = 290.65/x
  3. Step 3: Cross multiply
    477.06x = 658.39 × 290.65
  4. Step 4: Simplify right side
    477.06x = 191,362.70
  5. Step 5: Solve for x
    x = 191,362.70/477.06
  6. Step 6: Final answer
    x = 401.13

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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.