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Finding the Fourth Proportional to 217.13, 299.59 and 170.51

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Solution

The fourth proportional to 217.13, 299.59 and 170.51 is: 235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.13 : 299.59 = 170.51 : x
  2. Step 2: Convert to fraction form
    217.13/299.59 = 170.51/x
  3. Step 3: Cross multiply
    217.13x = 299.59 × 170.51
  4. Step 4: Simplify right side
    217.13x = 51,081.17
  5. Step 5: Solve for x
    x = 51,081.17/217.13
  6. Step 6: Final answer
    x = 235.26

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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.