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Finding the Fourth Proportional to 194.51, 290.17 and 180.53

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Solution

The fourth proportional to 194.51, 290.17 and 180.53 is: 269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.51 : 290.17 = 180.53 : x
  2. Step 2: Convert to fraction form
    194.51/290.17 = 180.53/x
  3. Step 3: Cross multiply
    194.51x = 290.17 × 180.53
  4. Step 4: Simplify right side
    194.51x = 52,384.39
  5. Step 5: Solve for x
    x = 52,384.39/194.51
  6. Step 6: Final answer
    x = 269.31

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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.