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Finding the Fourth Proportional to 192.48, 287.52 and 160

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Solution

The fourth proportional to 192.48, 287.52 and 160 is: 239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.48 : 287.52 = 160 : x
  2. Step 2: Convert to fraction form
    192.48/287.52 = 160/x
  3. Step 3: Cross multiply
    192.48x = 287.52 × 160
  4. Step 4: Simplify right side
    192.48x = 46,003.20
  5. Step 5: Solve for x
    x = 46,003.20/192.48
  6. Step 6: Final answer
    x = 239.00

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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.