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Finding the Fourth Proportional to 375.70, 563.53 and 266.17

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Solution

The fourth proportional to 375.70, 563.53 and 266.17 is: 399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.70 : 563.53 = 266.17 : x
  2. Step 2: Convert to fraction form
    375.70/563.53 = 266.17/x
  3. Step 3: Cross multiply
    375.70x = 563.53 × 266.17
  4. Step 4: Simplify right side
    375.70x = 149,995.01
  5. Step 5: Solve for x
    x = 149,995.01/375.70
  6. Step 6: Final answer
    x = 399.25

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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.