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Finding the Fourth Proportional to 212.13, 292.85 and 146.52

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Solution

The fourth proportional to 212.13, 292.85 and 146.52 is: 202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.13 : 292.85 = 146.52 : x
  2. Step 2: Convert to fraction form
    212.13/292.85 = 146.52/x
  3. Step 3: Cross multiply
    212.13x = 292.85 × 146.52
  4. Step 4: Simplify right side
    212.13x = 42,908.20
  5. Step 5: Solve for x
    x = 42,908.20/212.13
  6. Step 6: Final answer
    x = 202.27

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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.