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Finding the Fourth Proportional to 170.94, 256.68 and 151.86

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Solution

The fourth proportional to 170.94, 256.68 and 151.86 is: 228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.94 : 256.68 = 151.86 : x
  2. Step 2: Convert to fraction form
    170.94/256.68 = 151.86/x
  3. Step 3: Cross multiply
    170.94x = 256.68 × 151.86
  4. Step 4: Simplify right side
    170.94x = 38,979.42
  5. Step 5: Solve for x
    x = 38,979.42/170.94
  6. Step 6: Final answer
    x = 228.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.