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Finding the Fourth Proportional to 638.08, 956.91 and 364.30

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Solution

The fourth proportional to 638.08, 956.91 and 364.30 is: 546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.08 : 956.91 = 364.30 : x
  2. Step 2: Convert to fraction form
    638.08/956.91 = 364.30/x
  3. Step 3: Cross multiply
    638.08x = 956.91 × 364.30
  4. Step 4: Simplify right side
    638.08x = 348,602.31
  5. Step 5: Solve for x
    x = 348,602.31/638.08
  6. Step 6: Final answer
    x = 546.33

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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.