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Finding the Fourth Proportional to 268.07, 400.01 and 212.60

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Solution

The fourth proportional to 268.07, 400.01 and 212.60 is: 317.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.07 : 400.01 = 212.60 : x
  2. Step 2: Convert to fraction form
    268.07/400.01 = 212.60/x
  3. Step 3: Cross multiply
    268.07x = 400.01 × 212.60
  4. Step 4: Simplify right side
    268.07x = 85,039.06
  5. Step 5: Solve for x
    x = 85,039.06/268.07
  6. Step 6: Final answer
    x = 317.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.