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Finding the Fourth Proportional to 306.07, 458.25 and 233.71

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Solution

The fourth proportional to 306.07, 458.25 and 233.71 is: 349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.07 : 458.25 = 233.71 : x
  2. Step 2: Convert to fraction form
    306.07/458.25 = 233.71/x
  3. Step 3: Cross multiply
    306.07x = 458.25 × 233.71
  4. Step 4: Simplify right side
    306.07x = 107,097.61
  5. Step 5: Solve for x
    x = 107,097.61/306.07
  6. Step 6: Final answer
    x = 349.91

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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.