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Finding the Fourth Proportional to 330.58, 456.42 and 214.30

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Solution

The fourth proportional to 330.58, 456.42 and 214.30 is: 295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.58 : 456.42 = 214.30 : x
  2. Step 2: Convert to fraction form
    330.58/456.42 = 214.30/x
  3. Step 3: Cross multiply
    330.58x = 456.42 × 214.30
  4. Step 4: Simplify right side
    330.58x = 97,810.81
  5. Step 5: Solve for x
    x = 97,810.81/330.58
  6. Step 6: Final answer
    x = 295.88

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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.