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Finding the Fourth Proportional to 364.87, 547.05 and 145.33

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Solution

The fourth proportional to 364.87, 547.05 and 145.33 is: 217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.87 : 547.05 = 145.33 : x
  2. Step 2: Convert to fraction form
    364.87/547.05 = 145.33/x
  3. Step 3: Cross multiply
    364.87x = 547.05 × 145.33
  4. Step 4: Simplify right side
    364.87x = 79,501.95
  5. Step 5: Solve for x
    x = 79,501.95/364.87
  6. Step 6: Final answer
    x = 217.89

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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.