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Finding the Fourth Proportional to 258.34, 387.78 and 148.66

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Solution

The fourth proportional to 258.34, 387.78 and 148.66 is: 223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.34 : 387.78 = 148.66 : x
  2. Step 2: Convert to fraction form
    258.34/387.78 = 148.66/x
  3. Step 3: Cross multiply
    258.34x = 387.78 × 148.66
  4. Step 4: Simplify right side
    258.34x = 57,647.37
  5. Step 5: Solve for x
    x = 57,647.37/258.34
  6. Step 6: Final answer
    x = 223.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.