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Finding the Fourth Proportional to 333.06, 458.90 and 248.69

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Solution

The fourth proportional to 333.06, 458.90 and 248.69 is: 342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.06 : 458.90 = 248.69 : x
  2. Step 2: Convert to fraction form
    333.06/458.90 = 248.69/x
  3. Step 3: Cross multiply
    333.06x = 458.90 × 248.69
  4. Step 4: Simplify right side
    333.06x = 114,122.10
  5. Step 5: Solve for x
    x = 114,122.10/333.06
  6. Step 6: Final answer
    x = 342.65

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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.