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Finding the Fourth Proportional to 254.02, 349.64 and 212.11

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Solution

The fourth proportional to 254.02, 349.64 and 212.11 is: 291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.02 : 349.64 = 212.11 : x
  2. Step 2: Convert to fraction form
    254.02/349.64 = 212.11/x
  3. Step 3: Cross multiply
    254.02x = 349.64 × 212.11
  4. Step 4: Simplify right side
    254.02x = 74,162.14
  5. Step 5: Solve for x
    x = 74,162.14/254.02
  6. Step 6: Final answer
    x = 291.95

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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.