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Finding the Fourth Proportional to 347.42, 523.88 and 340.94

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Solution

The fourth proportional to 347.42, 523.88 and 340.94 is: 514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.42 : 523.88 = 340.94 : x
  2. Step 2: Convert to fraction form
    347.42/523.88 = 340.94/x
  3. Step 3: Cross multiply
    347.42x = 523.88 × 340.94
  4. Step 4: Simplify right side
    347.42x = 178,611.65
  5. Step 5: Solve for x
    x = 178,611.65/347.42
  6. Step 6: Final answer
    x = 514.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.