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Finding the Fourth Proportional to 384.55, 571.96 and 379.99

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Solution

The fourth proportional to 384.55, 571.96 and 379.99 is: 565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.55 : 571.96 = 379.99 : x
  2. Step 2: Convert to fraction form
    384.55/571.96 = 379.99/x
  3. Step 3: Cross multiply
    384.55x = 571.96 × 379.99
  4. Step 4: Simplify right side
    384.55x = 217,340.27
  5. Step 5: Solve for x
    x = 217,340.27/384.55
  6. Step 6: Final answer
    x = 565.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.