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Finding the Fourth Proportional to 328.44, 490.92 and 232.32

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Solution

The fourth proportional to 328.44, 490.92 and 232.32 is: 347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.44 : 490.92 = 232.32 : x
  2. Step 2: Convert to fraction form
    328.44/490.92 = 232.32/x
  3. Step 3: Cross multiply
    328.44x = 490.92 × 232.32
  4. Step 4: Simplify right side
    328.44x = 114,050.53
  5. Step 5: Solve for x
    x = 114,050.53/328.44
  6. Step 6: Final answer
    x = 347.25

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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.