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Finding the Fourth Proportional to 364.39, 546.73 and 181.78

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Solution

The fourth proportional to 364.39, 546.73 and 181.78 is: 272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.39 : 546.73 = 181.78 : x
  2. Step 2: Convert to fraction form
    364.39/546.73 = 181.78/x
  3. Step 3: Cross multiply
    364.39x = 546.73 × 181.78
  4. Step 4: Simplify right side
    364.39x = 99,384.58
  5. Step 5: Solve for x
    x = 99,384.58/364.39
  6. Step 6: Final answer
    x = 272.74

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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.