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Finding the Fourth Proportional to 380.12, 523.71 and 340.62

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Solution

The fourth proportional to 380.12, 523.71 and 340.62 is: 469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.12 : 523.71 = 340.62 : x
  2. Step 2: Convert to fraction form
    380.12/523.71 = 340.62/x
  3. Step 3: Cross multiply
    380.12x = 523.71 × 340.62
  4. Step 4: Simplify right side
    380.12x = 178,386.10
  5. Step 5: Solve for x
    x = 178,386.10/380.12
  6. Step 6: Final answer
    x = 469.30

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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.