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Finding the Fourth Proportional to 364.47, 547.20 and 262.41

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Solution

The fourth proportional to 364.47, 547.20 and 262.41 is: 393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.47 : 547.20 = 262.41 : x
  2. Step 2: Convert to fraction form
    364.47/547.20 = 262.41/x
  3. Step 3: Cross multiply
    364.47x = 547.20 × 262.41
  4. Step 4: Simplify right side
    364.47x = 143,590.75
  5. Step 5: Solve for x
    x = 143,590.75/364.47
  6. Step 6: Final answer
    x = 393.97

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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.