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Finding the Fourth Proportional to 395.68, 590.71 and 334.16

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Solution

The fourth proportional to 395.68, 590.71 and 334.16 is: 498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.68 : 590.71 = 334.16 : x
  2. Step 2: Convert to fraction form
    395.68/590.71 = 334.16/x
  3. Step 3: Cross multiply
    395.68x = 590.71 × 334.16
  4. Step 4: Simplify right side
    395.68x = 197,391.65
  5. Step 5: Solve for x
    x = 197,391.65/395.68
  6. Step 6: Final answer
    x = 498.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.