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Finding the Fourth Proportional to 330, 491.80 and 312.72

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Solution

The fourth proportional to 330, 491.80 and 312.72 is: 466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    330 : 491.80 = 312.72 : x
  2. Step 2: Convert to fraction form
    330/491.80 = 312.72/x
  3. Step 3: Cross multiply
    330x = 491.80 × 312.72
  4. Step 4: Simplify right side
    330x = 153,795.70
  5. Step 5: Solve for x
    x = 153,795.70/330
  6. Step 6: Final answer
    x = 466.05

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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.