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Finding the Fourth Proportional to 212.44, 292.56 and 202.72

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Solution

The fourth proportional to 212.44, 292.56 and 202.72 is: 279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.44 : 292.56 = 202.72 : x
  2. Step 2: Convert to fraction form
    212.44/292.56 = 202.72/x
  3. Step 3: Cross multiply
    212.44x = 292.56 × 202.72
  4. Step 4: Simplify right side
    212.44x = 59,307.76
  5. Step 5: Solve for x
    x = 59,307.76/212.44
  6. Step 6: Final answer
    x = 279.17

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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.