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Finding the Fourth Proportional to 492.96, 738.16 and 339.36

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Solution

The fourth proportional to 492.96, 738.16 and 339.36 is: 508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.96 : 738.16 = 339.36 : x
  2. Step 2: Convert to fraction form
    492.96/738.16 = 339.36/x
  3. Step 3: Cross multiply
    492.96x = 738.16 × 339.36
  4. Step 4: Simplify right side
    492.96x = 250,501.98
  5. Step 5: Solve for x
    x = 250,501.98/492.96
  6. Step 6: Final answer
    x = 508.16

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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.