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Finding the Fourth Proportional to 364.57, 546.64 and 208.13

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Solution

The fourth proportional to 364.57, 546.64 and 208.13 is: 312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.57 : 546.64 = 208.13 : x
  2. Step 2: Convert to fraction form
    364.57/546.64 = 208.13/x
  3. Step 3: Cross multiply
    364.57x = 546.64 × 208.13
  4. Step 4: Simplify right side
    364.57x = 113,773.03
  5. Step 5: Solve for x
    x = 113,773.03/364.57
  6. Step 6: Final answer
    x = 312.08

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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.