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Finding the Fourth Proportional to 332.81, 458.90 and 258.09

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Solution

The fourth proportional to 332.81, 458.90 and 258.09 is: 355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.81 : 458.90 = 258.09 : x
  2. Step 2: Convert to fraction form
    332.81/458.90 = 258.09/x
  3. Step 3: Cross multiply
    332.81x = 458.90 × 258.09
  4. Step 4: Simplify right side
    332.81x = 118,435.46
  5. Step 5: Solve for x
    x = 118,435.46/332.81
  6. Step 6: Final answer
    x = 355.87

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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.