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Finding the Fourth Proportional to 330.24, 492.36 and 305.92

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Solution

The fourth proportional to 330.24, 492.36 and 305.92 is: 456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.24 : 492.36 = 305.92 : x
  2. Step 2: Convert to fraction form
    330.24/492.36 = 305.92/x
  3. Step 3: Cross multiply
    330.24x = 492.36 × 305.92
  4. Step 4: Simplify right side
    330.24x = 150,622.77
  5. Step 5: Solve for x
    x = 150,622.77/330.24
  6. Step 6: Final answer
    x = 456.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.