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Finding the Fourth Proportional to 375.93, 563.76 and 180.78

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Solution

The fourth proportional to 375.93, 563.76 and 180.78 is: 271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.93 : 563.76 = 180.78 : x
  2. Step 2: Convert to fraction form
    375.93/563.76 = 180.78/x
  3. Step 3: Cross multiply
    375.93x = 563.76 × 180.78
  4. Step 4: Simplify right side
    375.93x = 101,916.53
  5. Step 5: Solve for x
    x = 101,916.53/375.93
  6. Step 6: Final answer
    x = 271.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.