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Finding the Fourth Proportional to 260.32, 390.48 and 116.01

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Solution

The fourth proportional to 260.32, 390.48 and 116.01 is: 174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.32 : 390.48 = 116.01 : x
  2. Step 2: Convert to fraction form
    260.32/390.48 = 116.01/x
  3. Step 3: Cross multiply
    260.32x = 390.48 × 116.01
  4. Step 4: Simplify right side
    260.32x = 45,299.58
  5. Step 5: Solve for x
    x = 45,299.58/260.32
  6. Step 6: Final answer
    x = 174.02

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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.