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Finding the Fourth Proportional to 170.86, 255.10 and 145.19

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Solution

The fourth proportional to 170.86, 255.10 and 145.19 is: 216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.86 : 255.10 = 145.19 : x
  2. Step 2: Convert to fraction form
    170.86/255.10 = 145.19/x
  3. Step 3: Cross multiply
    170.86x = 255.10 × 145.19
  4. Step 4: Simplify right side
    170.86x = 37,038.52
  5. Step 5: Solve for x
    x = 37,038.52/170.86
  6. Step 6: Final answer
    x = 216.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.