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Finding the Fourth Proportional to 375.84, 517.98 and 365.32

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Solution

The fourth proportional to 375.84, 517.98 and 365.32 is: 503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.84 : 517.98 = 365.32 : x
  2. Step 2: Convert to fraction form
    375.84/517.98 = 365.32/x
  3. Step 3: Cross multiply
    375.84x = 517.98 × 365.32
  4. Step 4: Simplify right side
    375.84x = 189,228.45
  5. Step 5: Solve for x
    x = 189,228.45/375.84
  6. Step 6: Final answer
    x = 503.48

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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.