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Finding the Fourth Proportional to 258.78, 390.03 and 223.14

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Solution

The fourth proportional to 258.78, 390.03 and 223.14 is: 336.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.78 : 390.03 = 223.14 : x
  2. Step 2: Convert to fraction form
    258.78/390.03 = 223.14/x
  3. Step 3: Cross multiply
    258.78x = 390.03 × 223.14
  4. Step 4: Simplify right side
    258.78x = 87,031.29
  5. Step 5: Solve for x
    x = 87,031.29/258.78
  6. Step 6: Final answer
    x = 336.31

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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.