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Finding the Fourth Proportional to 387.65, 580.97 and 336.08

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Solution

The fourth proportional to 387.65, 580.97 and 336.08 is: 503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.65 : 580.97 = 336.08 : x
  2. Step 2: Convert to fraction form
    387.65/580.97 = 336.08/x
  3. Step 3: Cross multiply
    387.65x = 580.97 × 336.08
  4. Step 4: Simplify right side
    387.65x = 195,253.85
  5. Step 5: Solve for x
    x = 195,253.85/387.65
  6. Step 6: Final answer
    x = 503.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.