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Finding the Fourth Proportional to 492.40, 738.72 and 145.75

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Solution

The fourth proportional to 492.40, 738.72 and 145.75 is: 218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.40 : 738.72 = 145.75 : x
  2. Step 2: Convert to fraction form
    492.40/738.72 = 145.75/x
  3. Step 3: Cross multiply
    492.40x = 738.72 × 145.75
  4. Step 4: Simplify right side
    492.40x = 107,668.44
  5. Step 5: Solve for x
    x = 107,668.44/492.40
  6. Step 6: Final answer
    x = 218.66

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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.