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Finding the Fourth Proportional to 492.42, 738.76 and 145.74

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Solution

The fourth proportional to 492.42, 738.76 and 145.74 is: 218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.42 : 738.76 = 145.74 : x
  2. Step 2: Convert to fraction form
    492.42/738.76 = 145.74/x
  3. Step 3: Cross multiply
    492.42x = 738.76 × 145.74
  4. Step 4: Simplify right side
    492.42x = 107,666.15
  5. Step 5: Solve for x
    x = 107,666.15/492.42
  6. Step 6: Final answer
    x = 218.65

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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.