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Finding the Fourth Proportional to 513.04, 769.42 and 238.86

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Solution

The fourth proportional to 513.04, 769.42 and 238.86 is: 358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.04 : 769.42 = 238.86 : x
  2. Step 2: Convert to fraction form
    513.04/769.42 = 238.86/x
  3. Step 3: Cross multiply
    513.04x = 769.42 × 238.86
  4. Step 4: Simplify right side
    513.04x = 183,783.06
  5. Step 5: Solve for x
    x = 183,783.06/513.04
  6. Step 6: Final answer
    x = 358.23

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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.