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Finding the Fourth Proportional to 192.50, 265.55 and 122.56

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Solution

The fourth proportional to 192.50, 265.55 and 122.56 is: 169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.50 : 265.55 = 122.56 : x
  2. Step 2: Convert to fraction form
    192.50/265.55 = 122.56/x
  3. Step 3: Cross multiply
    192.50x = 265.55 × 122.56
  4. Step 4: Simplify right side
    192.50x = 32,547.06
  5. Step 5: Solve for x
    x = 32,547.06/192.50
  6. Step 6: Final answer
    x = 169.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.