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Finding the Fourth Proportional to 194.04, 292.23 and 146.28

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Solution

The fourth proportional to 194.04, 292.23 and 146.28 is: 220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.04 : 292.23 = 146.28 : x
  2. Step 2: Convert to fraction form
    194.04/292.23 = 146.28/x
  3. Step 3: Cross multiply
    194.04x = 292.23 × 146.28
  4. Step 4: Simplify right side
    194.04x = 42,747.40
  5. Step 5: Solve for x
    x = 42,747.40/194.04
  6. Step 6: Final answer
    x = 220.30

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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.