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Finding the Fourth Proportional to 260.06, 358.91 and 148.06

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Solution

The fourth proportional to 260.06, 358.91 and 148.06 is: 204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.06 : 358.91 = 148.06 : x
  2. Step 2: Convert to fraction form
    260.06/358.91 = 148.06/x
  3. Step 3: Cross multiply
    260.06x = 358.91 × 148.06
  4. Step 4: Simplify right side
    260.06x = 53,141.31
  5. Step 5: Solve for x
    x = 53,141.31/260.06
  6. Step 6: Final answer
    x = 204.34

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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.