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Finding the Fourth Proportional to 306.16, 458.80 and 151.78

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Solution

The fourth proportional to 306.16, 458.80 and 151.78 is: 227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.16 : 458.80 = 151.78 : x
  2. Step 2: Convert to fraction form
    306.16/458.80 = 151.78/x
  3. Step 3: Cross multiply
    306.16x = 458.80 × 151.78
  4. Step 4: Simplify right side
    306.16x = 69,636.66
  5. Step 5: Solve for x
    x = 69,636.66/306.16
  6. Step 6: Final answer
    x = 227.45

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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.