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Finding the Fourth Proportional to 375.30, 517.83 and 242.28

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Solution

The fourth proportional to 375.30, 517.83 and 242.28 is: 334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.30 : 517.83 = 242.28 : x
  2. Step 2: Convert to fraction form
    375.30/517.83 = 242.28/x
  3. Step 3: Cross multiply
    375.30x = 517.83 × 242.28
  4. Step 4: Simplify right side
    375.30x = 125,459.85
  5. Step 5: Solve for x
    x = 125,459.85/375.30
  6. Step 6: Final answer
    x = 334.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.