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Finding the Fourth Proportional to 364.72, 546.44 and 306.88

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Solution

The fourth proportional to 364.72, 546.44 and 306.88 is: 459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.72 : 546.44 = 306.88 : x
  2. Step 2: Convert to fraction form
    364.72/546.44 = 306.88/x
  3. Step 3: Cross multiply
    364.72x = 546.44 × 306.88
  4. Step 4: Simplify right side
    364.72x = 167,691.51
  5. Step 5: Solve for x
    x = 167,691.51/364.72
  6. Step 6: Final answer
    x = 459.78

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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.