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Finding the Fourth Proportional to 375.13, 514.37 and 338.14

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Solution

The fourth proportional to 375.13, 514.37 and 338.14 is: 463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.13 : 514.37 = 338.14 : x
  2. Step 2: Convert to fraction form
    375.13/514.37 = 338.14/x
  3. Step 3: Cross multiply
    375.13x = 514.37 × 338.14
  4. Step 4: Simplify right side
    375.13x = 173,929.07
  5. Step 5: Solve for x
    x = 173,929.07/375.13
  6. Step 6: Final answer
    x = 463.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.