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Finding the Fourth Proportional to 260.44, 390.78 and 152.23

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Solution

The fourth proportional to 260.44, 390.78 and 152.23 is: 228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.44 : 390.78 = 152.23 : x
  2. Step 2: Convert to fraction form
    260.44/390.78 = 152.23/x
  3. Step 3: Cross multiply
    260.44x = 390.78 × 152.23
  4. Step 4: Simplify right side
    260.44x = 59,489.04
  5. Step 5: Solve for x
    x = 59,489.04/260.44
  6. Step 6: Final answer
    x = 228.42

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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.