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Finding the Fourth Proportional to 212.04, 292.54 and 120.04

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Solution

The fourth proportional to 212.04, 292.54 and 120.04 is: 165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.04 : 292.54 = 120.04 : x
  2. Step 2: Convert to fraction form
    212.04/292.54 = 120.04/x
  3. Step 3: Cross multiply
    212.04x = 292.54 × 120.04
  4. Step 4: Simplify right side
    212.04x = 35,116.50
  5. Step 5: Solve for x
    x = 35,116.50/212.04
  6. Step 6: Final answer
    x = 165.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.