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Finding the Fourth Proportional to 375.97, 564.18 and 299.20

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Solution

The fourth proportional to 375.97, 564.18 and 299.20 is: 448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.97 : 564.18 = 299.20 : x
  2. Step 2: Convert to fraction form
    375.97/564.18 = 299.20/x
  3. Step 3: Cross multiply
    375.97x = 564.18 × 299.20
  4. Step 4: Simplify right side
    375.97x = 168,802.66
  5. Step 5: Solve for x
    x = 168,802.66/375.97
  6. Step 6: Final answer
    x = 448.98

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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.