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Finding the Fourth Proportional to 191, 284.95 and 172.78

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Solution

The fourth proportional to 191, 284.95 and 172.78 is: 257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191 : 284.95 = 172.78 : x
  2. Step 2: Convert to fraction form
    191/284.95 = 172.78/x
  3. Step 3: Cross multiply
    191x = 284.95 × 172.78
  4. Step 4: Simplify right side
    191x = 49,233.66
  5. Step 5: Solve for x
    x = 49,233.66/191
  6. Step 6: Final answer
    x = 257.77

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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.