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Finding the Fourth Proportional to 606.66, 910.14 and 259.82

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Solution

The fourth proportional to 606.66, 910.14 and 259.82 is: 389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.66 : 910.14 = 259.82 : x
  2. Step 2: Convert to fraction form
    606.66/910.14 = 259.82/x
  3. Step 3: Cross multiply
    606.66x = 910.14 × 259.82
  4. Step 4: Simplify right side
    606.66x = 236,474.85
  5. Step 5: Solve for x
    x = 236,474.85/606.66
  6. Step 6: Final answer
    x = 389.80

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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.