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Finding the Fourth Proportional to 492.28, 737.64 and 309.32

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Solution

The fourth proportional to 492.28, 737.64 and 309.32 is: 463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.28 : 737.64 = 309.32 : x
  2. Step 2: Convert to fraction form
    492.28/737.64 = 309.32/x
  3. Step 3: Cross multiply
    492.28x = 737.64 × 309.32
  4. Step 4: Simplify right side
    492.28x = 228,165.88
  5. Step 5: Solve for x
    x = 228,165.88/492.28
  6. Step 6: Final answer
    x = 463.49

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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.