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Finding the Fourth Proportional to 306.71, 459.75 and 133.35

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Solution

The fourth proportional to 306.71, 459.75 and 133.35 is: 199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.71 : 459.75 = 133.35 : x
  2. Step 2: Convert to fraction form
    306.71/459.75 = 133.35/x
  3. Step 3: Cross multiply
    306.71x = 459.75 × 133.35
  4. Step 4: Simplify right side
    306.71x = 61,306.06
  5. Step 5: Solve for x
    x = 61,306.06/306.71
  6. Step 6: Final answer
    x = 199.88

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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.