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Finding the Fourth Proportional to 348.48, 523.50 and 334.65

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Solution

The fourth proportional to 348.48, 523.50 and 334.65 is: 502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.48 : 523.50 = 334.65 : x
  2. Step 2: Convert to fraction form
    348.48/523.50 = 334.65/x
  3. Step 3: Cross multiply
    348.48x = 523.50 × 334.65
  4. Step 4: Simplify right side
    348.48x = 175,189.28
  5. Step 5: Solve for x
    x = 175,189.28/348.48
  6. Step 6: Final answer
    x = 502.72

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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.