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Finding the Fourth Proportional to 384.28, 571.47 and 380.23

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Solution

The fourth proportional to 384.28, 571.47 and 380.23 is: 565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.28 : 571.47 = 380.23 : x
  2. Step 2: Convert to fraction form
    384.28/571.47 = 380.23/x
  3. Step 3: Cross multiply
    384.28x = 571.47 × 380.23
  4. Step 4: Simplify right side
    384.28x = 217,289.32
  5. Step 5: Solve for x
    x = 217,289.32/384.28
  6. Step 6: Final answer
    x = 565.45

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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.