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Finding the Fourth Proportional to 330.94, 456.80 and 213.02

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Solution

The fourth proportional to 330.94, 456.80 and 213.02 is: 294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.94 : 456.80 = 213.02 : x
  2. Step 2: Convert to fraction form
    330.94/456.80 = 213.02/x
  3. Step 3: Cross multiply
    330.94x = 456.80 × 213.02
  4. Step 4: Simplify right side
    330.94x = 97,307.54
  5. Step 5: Solve for x
    x = 97,307.54/330.94
  6. Step 6: Final answer
    x = 294.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.