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Finding the Fourth Proportional to 330.23, 492.81 and 295.64

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Solution

The fourth proportional to 330.23, 492.81 and 295.64 is: 441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.23 : 492.81 = 295.64 : x
  2. Step 2: Convert to fraction form
    330.23/492.81 = 295.64/x
  3. Step 3: Cross multiply
    330.23x = 492.81 × 295.64
  4. Step 4: Simplify right side
    330.23x = 145,694.66
  5. Step 5: Solve for x
    x = 145,694.66/330.23
  6. Step 6: Final answer
    x = 441.19

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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.