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Finding the Fourth Proportional to 330.06, 491.61 and 312.72

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Solution

The fourth proportional to 330.06, 491.61 and 312.72 is: 465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.06 : 491.61 = 312.72 : x
  2. Step 2: Convert to fraction form
    330.06/491.61 = 312.72/x
  3. Step 3: Cross multiply
    330.06x = 491.61 × 312.72
  4. Step 4: Simplify right side
    330.06x = 153,736.28
  5. Step 5: Solve for x
    x = 153,736.28/330.06
  6. Step 6: Final answer
    x = 465.78

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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.