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Finding the Fourth Proportional to 617.86, 926.56 and 206.89

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Solution

The fourth proportional to 617.86, 926.56 and 206.89 is: 310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.86 : 926.56 = 206.89 : x
  2. Step 2: Convert to fraction form
    617.86/926.56 = 206.89/x
  3. Step 3: Cross multiply
    617.86x = 926.56 × 206.89
  4. Step 4: Simplify right side
    617.86x = 191,693.94
  5. Step 5: Solve for x
    x = 191,693.94/617.86
  6. Step 6: Final answer
    x = 310.25

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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.