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Finding the Fourth Proportional to 192.16, 265.36 and 159.76

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Solution

The fourth proportional to 192.16, 265.36 and 159.76 is: 220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.16 : 265.36 = 159.76 : x
  2. Step 2: Convert to fraction form
    192.16/265.36 = 159.76/x
  3. Step 3: Cross multiply
    192.16x = 265.36 × 159.76
  4. Step 4: Simplify right side
    192.16x = 42,393.91
  5. Step 5: Solve for x
    x = 42,393.91/192.16
  6. Step 6: Final answer
    x = 220.62

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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.