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Finding the Fourth Proportional to 306.21, 421.56 and 232.05

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Solution

The fourth proportional to 306.21, 421.56 and 232.05 is: 319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.21 : 421.56 = 232.05 : x
  2. Step 2: Convert to fraction form
    306.21/421.56 = 232.05/x
  3. Step 3: Cross multiply
    306.21x = 421.56 × 232.05
  4. Step 4: Simplify right side
    306.21x = 97,823.00
  5. Step 5: Solve for x
    x = 97,823.00/306.21
  6. Step 6: Final answer
    x = 319.46

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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.