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Finding the Fourth Proportional to 310.99, 429.16 and 171.12

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Solution

The fourth proportional to 310.99, 429.16 and 171.12 is: 236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.99 : 429.16 = 171.12 : x
  2. Step 2: Convert to fraction form
    310.99/429.16 = 171.12/x
  3. Step 3: Cross multiply
    310.99x = 429.16 × 171.12
  4. Step 4: Simplify right side
    310.99x = 73,437.21
  5. Step 5: Solve for x
    x = 73,437.21/310.99
  6. Step 6: Final answer
    x = 236.14

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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.