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Finding the Fourth Proportional to 170.86, 235.10 and 166.08

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Solution

The fourth proportional to 170.86, 235.10 and 166.08 is: 228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.86 : 235.10 = 166.08 : x
  2. Step 2: Convert to fraction form
    170.86/235.10 = 166.08/x
  3. Step 3: Cross multiply
    170.86x = 235.10 × 166.08
  4. Step 4: Simplify right side
    170.86x = 39,044.72
  5. Step 5: Solve for x
    x = 39,044.72/170.86
  6. Step 6: Final answer
    x = 228.52

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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.