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Finding the Fourth Proportional to 260.67, 390.80 and 145.16

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Solution

The fourth proportional to 260.67, 390.80 and 145.16 is: 217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.67 : 390.80 = 145.16 : x
  2. Step 2: Convert to fraction form
    260.67/390.80 = 145.16/x
  3. Step 3: Cross multiply
    260.67x = 390.80 × 145.16
  4. Step 4: Simplify right side
    260.67x = 56,725.85
  5. Step 5: Solve for x
    x = 56,725.85/260.67
  6. Step 6: Final answer
    x = 217.62

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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.