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Finding the Fourth Proportional to 192.76, 290.18 and 176.02

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Solution

The fourth proportional to 192.76, 290.18 and 176.02 is: 264.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.76 : 290.18 = 176.02 : x
  2. Step 2: Convert to fraction form
    192.76/290.18 = 176.02/x
  3. Step 3: Cross multiply
    192.76x = 290.18 × 176.02
  4. Step 4: Simplify right side
    192.76x = 51,077.48
  5. Step 5: Solve for x
    x = 51,077.48/192.76
  6. Step 6: Final answer
    x = 264.98

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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.