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Finding the Fourth Proportional to 313.05, 432 and 173.16

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Solution

The fourth proportional to 313.05, 432 and 173.16 is: 238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.05 : 432 = 173.16 : x
  2. Step 2: Convert to fraction form
    313.05/432 = 173.16/x
  3. Step 3: Cross multiply
    313.05x = 432 × 173.16
  4. Step 4: Simplify right side
    313.05x = 74,805.12
  5. Step 5: Solve for x
    x = 74,805.12/313.05
  6. Step 6: Final answer
    x = 238.96

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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.