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Finding the Fourth Proportional to 192.90, 290.50 and 160.71

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Solution

The fourth proportional to 192.90, 290.50 and 160.71 is: 242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.90 : 290.50 = 160.71 : x
  2. Step 2: Convert to fraction form
    192.90/290.50 = 160.71/x
  3. Step 3: Cross multiply
    192.90x = 290.50 × 160.71
  4. Step 4: Simplify right side
    192.90x = 46,686.26
  5. Step 5: Solve for x
    x = 46,686.26/192.90
  6. Step 6: Final answer
    x = 242.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.