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Finding the Fourth Proportional to 260.10, 358.92 and 148.07

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Solution

The fourth proportional to 260.10, 358.92 and 148.07 is: 204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.10 : 358.92 = 148.07 : x
  2. Step 2: Convert to fraction form
    260.10/358.92 = 148.07/x
  3. Step 3: Cross multiply
    260.10x = 358.92 × 148.07
  4. Step 4: Simplify right side
    260.10x = 53,146.18
  5. Step 5: Solve for x
    x = 53,146.18/260.10
  6. Step 6: Final answer
    x = 204.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.