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Finding the Fourth Proportional to 375.44, 517.49 and 317.01

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Solution

The fourth proportional to 375.44, 517.49 and 317.01 is: 436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.44 : 517.49 = 317.01 : x
  2. Step 2: Convert to fraction form
    375.44/517.49 = 317.01/x
  3. Step 3: Cross multiply
    375.44x = 517.49 × 317.01
  4. Step 4: Simplify right side
    375.44x = 164,051.05
  5. Step 5: Solve for x
    x = 164,051.05/375.44
  6. Step 6: Final answer
    x = 436.96

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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.