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Finding the Fourth Proportional to 364.68, 546.64 and 218.42

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Solution

The fourth proportional to 364.68, 546.64 and 218.42 is: 327.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.68 : 546.64 = 218.42 : x
  2. Step 2: Convert to fraction form
    364.68/546.64 = 218.42/x
  3. Step 3: Cross multiply
    364.68x = 546.64 × 218.42
  4. Step 4: Simplify right side
    364.68x = 119,397.11
  5. Step 5: Solve for x
    x = 119,397.11/364.68
  6. Step 6: Final answer
    x = 327.40

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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.