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Finding the Fourth Proportional to 606.89, 910.69 and 260.21

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Solution

The fourth proportional to 606.89, 910.69 and 260.21 is: 390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.89 : 910.69 = 260.21 : x
  2. Step 2: Convert to fraction form
    606.89/910.69 = 260.21/x
  3. Step 3: Cross multiply
    606.89x = 910.69 × 260.21
  4. Step 4: Simplify right side
    606.89x = 236,972.27
  5. Step 5: Solve for x
    x = 236,972.27/606.89
  6. Step 6: Final answer
    x = 390.47

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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.