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Finding the Fourth Proportional to 331.68, 458.12 and 258.88

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Solution

The fourth proportional to 331.68, 458.12 and 258.88 is: 357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.68 : 458.12 = 258.88 : x
  2. Step 2: Convert to fraction form
    331.68/458.12 = 258.88/x
  3. Step 3: Cross multiply
    331.68x = 458.12 × 258.88
  4. Step 4: Simplify right side
    331.68x = 118,598.11
  5. Step 5: Solve for x
    x = 118,598.11/331.68
  6. Step 6: Final answer
    x = 357.57

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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.