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Finding the Fourth Proportional to 309.88, 427.65 and 170.01

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Solution

The fourth proportional to 309.88, 427.65 and 170.01 is: 234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.88 : 427.65 = 170.01 : x
  2. Step 2: Convert to fraction form
    309.88/427.65 = 170.01/x
  3. Step 3: Cross multiply
    309.88x = 427.65 × 170.01
  4. Step 4: Simplify right side
    309.88x = 72,704.14
  5. Step 5: Solve for x
    x = 72,704.14/309.88
  6. Step 6: Final answer
    x = 234.62

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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.