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Finding the Fourth Proportional to 258.99, 388.45 and 156.30

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Solution

The fourth proportional to 258.99, 388.45 and 156.30 is: 234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.99 : 388.45 = 156.30 : x
  2. Step 2: Convert to fraction form
    258.99/388.45 = 156.30/x
  3. Step 3: Cross multiply
    258.99x = 388.45 × 156.30
  4. Step 4: Simplify right side
    258.99x = 60,714.74
  5. Step 5: Solve for x
    x = 60,714.74/258.99
  6. Step 6: Final answer
    x = 234.43

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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.