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Finding the Fourth Proportional to 375.84, 517.79 and 364.50

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Solution

The fourth proportional to 375.84, 517.79 and 364.50 is: 502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.84 : 517.79 = 364.50 : x
  2. Step 2: Convert to fraction form
    375.84/517.79 = 364.50/x
  3. Step 3: Cross multiply
    375.84x = 517.79 × 364.50
  4. Step 4: Simplify right side
    375.84x = 188,735.37
  5. Step 5: Solve for x
    x = 188,735.37/375.84
  6. Step 6: Final answer
    x = 502.17

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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.