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Finding the Fourth Proportional to 330.63, 456.27 and 214.20

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Solution

The fourth proportional to 330.63, 456.27 and 214.20 is: 295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.63 : 456.27 = 214.20 : x
  2. Step 2: Convert to fraction form
    330.63/456.27 = 214.20/x
  3. Step 3: Cross multiply
    330.63x = 456.27 × 214.20
  4. Step 4: Simplify right side
    330.63x = 97,733.03
  5. Step 5: Solve for x
    x = 97,733.03/330.63
  6. Step 6: Final answer
    x = 295.60

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