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Finding the Fourth Proportional to 317.35, 437.97 and 193.06

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Solution

The fourth proportional to 317.35, 437.97 and 193.06 is: 266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.35 : 437.97 = 193.06 : x
  2. Step 2: Convert to fraction form
    317.35/437.97 = 193.06/x
  3. Step 3: Cross multiply
    317.35x = 437.97 × 193.06
  4. Step 4: Simplify right side
    317.35x = 84,554.49
  5. Step 5: Solve for x
    x = 84,554.49/317.35
  6. Step 6: Final answer
    x = 266.44

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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.