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Finding the Fourth Proportional to 330.32, 491.73 and 314.60

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Solution

The fourth proportional to 330.32, 491.73 and 314.60 is: 468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.32 : 491.73 = 314.60 : x
  2. Step 2: Convert to fraction form
    330.32/491.73 = 314.60/x
  3. Step 3: Cross multiply
    330.32x = 491.73 × 314.60
  4. Step 4: Simplify right side
    330.32x = 154,698.26
  5. Step 5: Solve for x
    x = 154,698.26/330.32
  6. Step 6: Final answer
    x = 468.33

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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.