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Finding the Fourth Proportional to 260.17, 390.03 and 186.85

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Solution

The fourth proportional to 260.17, 390.03 and 186.85 is: 280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.17 : 390.03 = 186.85 : x
  2. Step 2: Convert to fraction form
    260.17/390.03 = 186.85/x
  3. Step 3: Cross multiply
    260.17x = 390.03 × 186.85
  4. Step 4: Simplify right side
    260.17x = 72,877.11
  5. Step 5: Solve for x
    x = 72,877.11/260.17
  6. Step 6: Final answer
    x = 280.11

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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.