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Finding the Fourth Proportional to 306.02, 422.37 and 188.06

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Solution

The fourth proportional to 306.02, 422.37 and 188.06 is: 259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.02 : 422.37 = 188.06 : x
  2. Step 2: Convert to fraction form
    306.02/422.37 = 188.06/x
  3. Step 3: Cross multiply
    306.02x = 422.37 × 188.06
  4. Step 4: Simplify right side
    306.02x = 79,429.69
  5. Step 5: Solve for x
    x = 79,429.69/306.02
  6. Step 6: Final answer
    x = 259.56

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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.