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Finding the Fourth Proportional to 258.96, 389.02 and 156.44

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Solution

The fourth proportional to 258.96, 389.02 and 156.44 is: 235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.96 : 389.02 = 156.44 : x
  2. Step 2: Convert to fraction form
    258.96/389.02 = 156.44/x
  3. Step 3: Cross multiply
    258.96x = 389.02 × 156.44
  4. Step 4: Simplify right side
    258.96x = 60,858.29
  5. Step 5: Solve for x
    x = 60,858.29/258.96
  6. Step 6: Final answer
    x = 235.01

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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.