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Finding the Fourth Proportional to 191.40, 288.25 and 170.04

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Solution

The fourth proportional to 191.40, 288.25 and 170.04 is: 256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.40 : 288.25 = 170.04 : x
  2. Step 2: Convert to fraction form
    191.40/288.25 = 170.04/x
  3. Step 3: Cross multiply
    191.40x = 288.25 × 170.04
  4. Step 4: Simplify right side
    191.40x = 49,014.03
  5. Step 5: Solve for x
    x = 49,014.03/191.40
  6. Step 6: Final answer
    x = 256.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.