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Finding the Fourth Proportional to 384.27, 571.47 and 372.12

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Solution

The fourth proportional to 384.27, 571.47 and 372.12 is: 553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.27 : 571.47 = 372.12 : x
  2. Step 2: Convert to fraction form
    384.27/571.47 = 372.12/x
  3. Step 3: Cross multiply
    384.27x = 571.47 × 372.12
  4. Step 4: Simplify right side
    384.27x = 212,655.42
  5. Step 5: Solve for x
    x = 212,655.42/384.27
  6. Step 6: Final answer
    x = 553.40

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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.