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Finding the Fourth Proportional to 192.72, 287.66 and 160.16

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Solution

The fourth proportional to 192.72, 287.66 and 160.16 is: 239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.72 : 287.66 = 160.16 : x
  2. Step 2: Convert to fraction form
    192.72/287.66 = 160.16/x
  3. Step 3: Cross multiply
    192.72x = 287.66 × 160.16
  4. Step 4: Simplify right side
    192.72x = 46,071.63
  5. Step 5: Solve for x
    x = 46,071.63/192.72
  6. Step 6: Final answer
    x = 239.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.