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Finding the Fourth Proportional to 384.50, 575.87 and 262.19

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Solution

The fourth proportional to 384.50, 575.87 and 262.19 is: 392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.50 : 575.87 = 262.19 : x
  2. Step 2: Convert to fraction form
    384.50/575.87 = 262.19/x
  3. Step 3: Cross multiply
    384.50x = 575.87 × 262.19
  4. Step 4: Simplify right side
    384.50x = 150,983.17
  5. Step 5: Solve for x
    x = 150,983.17/384.50
  6. Step 6: Final answer
    x = 392.68

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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.