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Finding the Fourth Proportional to 606.75, 910.38 and 260.16

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Solution

The fourth proportional to 606.75, 910.38 and 260.16 is: 390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.75 : 910.38 = 260.16 : x
  2. Step 2: Convert to fraction form
    606.75/910.38 = 260.16/x
  3. Step 3: Cross multiply
    606.75x = 910.38 × 260.16
  4. Step 4: Simplify right side
    606.75x = 236,838.61
  5. Step 5: Solve for x
    x = 236,838.61/606.75
  6. Step 6: Final answer
    x = 390.34

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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.