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Finding the Fourth Proportional to 260.08, 389.84 and 157.52

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Solution

The fourth proportional to 260.08, 389.84 and 157.52 is: 236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.08 : 389.84 = 157.52 : x
  2. Step 2: Convert to fraction form
    260.08/389.84 = 157.52/x
  3. Step 3: Cross multiply
    260.08x = 389.84 × 157.52
  4. Step 4: Simplify right side
    260.08x = 61,407.60
  5. Step 5: Solve for x
    x = 61,407.60/260.08
  6. Step 6: Final answer
    x = 236.11

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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.