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Finding the Fourth Proportional to 492.44, 738.18 and 287.10

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Solution

The fourth proportional to 492.44, 738.18 and 287.10 is: 430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.44 : 738.18 = 287.10 : x
  2. Step 2: Convert to fraction form
    492.44/738.18 = 287.10/x
  3. Step 3: Cross multiply
    492.44x = 738.18 × 287.10
  4. Step 4: Simplify right side
    492.44x = 211,931.48
  5. Step 5: Solve for x
    x = 211,931.48/492.44
  6. Step 6: Final answer
    x = 430.37

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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.