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Finding the Fourth Proportional to 606.86, 910.14 and 260.03

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Solution

The fourth proportional to 606.86, 910.14 and 260.03 is: 389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.86 : 910.14 = 260.03 : x
  2. Step 2: Convert to fraction form
    606.86/910.14 = 260.03/x
  3. Step 3: Cross multiply
    606.86x = 910.14 × 260.03
  4. Step 4: Simplify right side
    606.86x = 236,659.15
  5. Step 5: Solve for x
    x = 236,659.15/606.86
  6. Step 6: Final answer
    x = 389.98

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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.