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Finding the Fourth Proportional to 384.41, 531.11 and 268.49

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Solution

The fourth proportional to 384.41, 531.11 and 268.49 is: 370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.41 : 531.11 = 268.49 : x
  2. Step 2: Convert to fraction form
    384.41/531.11 = 268.49/x
  3. Step 3: Cross multiply
    384.41x = 531.11 × 268.49
  4. Step 4: Simplify right side
    384.41x = 142,596.38
  5. Step 5: Solve for x
    x = 142,596.38/384.41
  6. Step 6: Final answer
    x = 370.95

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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.