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Finding the Fourth Proportional to 260.48, 390.78 and 130.53

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Solution

The fourth proportional to 260.48, 390.78 and 130.53 is: 195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.48 : 390.78 = 130.53 : x
  2. Step 2: Convert to fraction form
    260.48/390.78 = 130.53/x
  3. Step 3: Cross multiply
    260.48x = 390.78 × 130.53
  4. Step 4: Simplify right side
    260.48x = 51,009.16
  5. Step 5: Solve for x
    x = 51,009.16/260.48
  6. Step 6: Final answer
    x = 195.83

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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.