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Finding the Fourth Proportional to 304.23, 458.45 and 251.31

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Solution

The fourth proportional to 304.23, 458.45 and 251.31 is: 378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.23 : 458.45 = 251.31 : x
  2. Step 2: Convert to fraction form
    304.23/458.45 = 251.31/x
  3. Step 3: Cross multiply
    304.23x = 458.45 × 251.31
  4. Step 4: Simplify right side
    304.23x = 115,211.81
  5. Step 5: Solve for x
    x = 115,211.81/304.23
  6. Step 6: Final answer
    x = 378.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.