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Finding the Fourth Proportional to 384.08, 572.40 and 371.78

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Solution

The fourth proportional to 384.08, 572.40 and 371.78 is: 554.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.08 : 572.40 = 371.78 : x
  2. Step 2: Convert to fraction form
    384.08/572.40 = 371.78/x
  3. Step 3: Cross multiply
    384.08x = 572.40 × 371.78
  4. Step 4: Simplify right side
    384.08x = 212,805.01
  5. Step 5: Solve for x
    x = 212,805.01/384.08
  6. Step 6: Final answer
    x = 554.06

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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.