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Finding the Fourth Proportional to 191.70, 285.91 and 172.26

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Solution

The fourth proportional to 191.70, 285.91 and 172.26 is: 256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.70 : 285.91 = 172.26 : x
  2. Step 2: Convert to fraction form
    191.70/285.91 = 172.26/x
  3. Step 3: Cross multiply
    191.70x = 285.91 × 172.26
  4. Step 4: Simplify right side
    191.70x = 49,250.43
  5. Step 5: Solve for x
    x = 49,250.43/191.70
  6. Step 6: Final answer
    x = 256.91

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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.