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Finding the Fourth Proportional to 306.46, 459.68 and 133.11

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Solution

The fourth proportional to 306.46, 459.68 and 133.11 is: 199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.46 : 459.68 = 133.11 : x
  2. Step 2: Convert to fraction form
    306.46/459.68 = 133.11/x
  3. Step 3: Cross multiply
    306.46x = 459.68 × 133.11
  4. Step 4: Simplify right side
    306.46x = 61,188.00
  5. Step 5: Solve for x
    x = 61,188.00/306.46
  6. Step 6: Final answer
    x = 199.66

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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.