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Finding the Fourth Proportional to 192.17, 287.15 and 157.55

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Solution

The fourth proportional to 192.17, 287.15 and 157.55 is: 235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.17 : 287.15 = 157.55 : x
  2. Step 2: Convert to fraction form
    192.17/287.15 = 157.55/x
  3. Step 3: Cross multiply
    192.17x = 287.15 × 157.55
  4. Step 4: Simplify right side
    192.17x = 45,238.26
  5. Step 5: Solve for x
    x = 45,238.26/192.17
  6. Step 6: Final answer
    x = 235.40

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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.