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Finding the Fourth Proportional to 306.21, 458.70 and 141.45

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Solution

The fourth proportional to 306.21, 458.70 and 141.45 is: 211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.21 : 458.70 = 141.45 : x
  2. Step 2: Convert to fraction form
    306.21/458.70 = 141.45/x
  3. Step 3: Cross multiply
    306.21x = 458.70 × 141.45
  4. Step 4: Simplify right side
    306.21x = 64,880.11
  5. Step 5: Solve for x
    x = 64,880.11/306.21
  6. Step 6: Final answer
    x = 211.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.