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Finding the Fourth Proportional to 313, 431.94 and 175

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Solution

The fourth proportional to 313, 431.94 and 175 is: 241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313 : 431.94 = 175 : x
  2. Step 2: Convert to fraction form
    313/431.94 = 175/x
  3. Step 3: Cross multiply
    313x = 431.94 × 175
  4. Step 4: Simplify right side
    313x = 75,589.50
  5. Step 5: Solve for x
    x = 75,589.50/313
  6. Step 6: Final answer
    x = 241.50

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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.