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Finding the Fourth Proportional to 294.60, 406.59 and 170.29

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Solution

The fourth proportional to 294.60, 406.59 and 170.29 is: 235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.60 : 406.59 = 170.29 : x
  2. Step 2: Convert to fraction form
    294.60/406.59 = 170.29/x
  3. Step 3: Cross multiply
    294.60x = 406.59 × 170.29
  4. Step 4: Simplify right side
    294.60x = 69,238.21
  5. Step 5: Solve for x
    x = 69,238.21/294.60
  6. Step 6: Final answer
    x = 235.02

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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.