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Finding the Fourth Proportional to 258.80, 390.01 and 233.15

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Solution

The fourth proportional to 258.80, 390.01 and 233.15 is: 351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.80 : 390.01 = 233.15 : x
  2. Step 2: Convert to fraction form
    258.80/390.01 = 233.15/x
  3. Step 3: Cross multiply
    258.80x = 390.01 × 233.15
  4. Step 4: Simplify right side
    258.80x = 90,930.83
  5. Step 5: Solve for x
    x = 90,930.83/258.80
  6. Step 6: Final answer
    x = 351.36

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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.