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Finding the Fourth Proportional to 374.68, 517.02 and 208.89

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Solution

The fourth proportional to 374.68, 517.02 and 208.89 is: 288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.68 : 517.02 = 208.89 : x
  2. Step 2: Convert to fraction form
    374.68/517.02 = 208.89/x
  3. Step 3: Cross multiply
    374.68x = 517.02 × 208.89
  4. Step 4: Simplify right side
    374.68x = 108,001.13
  5. Step 5: Solve for x
    x = 108,001.13/374.68
  6. Step 6: Final answer
    x = 288.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.