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Finding the Fourth Proportional to 260.20, 390.36 and 97.93

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Solution

The fourth proportional to 260.20, 390.36 and 97.93 is: 146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.20 : 390.36 = 97.93 : x
  2. Step 2: Convert to fraction form
    260.20/390.36 = 97.93/x
  3. Step 3: Cross multiply
    260.20x = 390.36 × 97.93
  4. Step 4: Simplify right side
    260.20x = 38,226.00
  5. Step 5: Solve for x
    x = 38,226.00/260.20
  6. Step 6: Final answer
    x = 146.91

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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.