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Finding the Fourth Proportional to 374.93, 517.40 and 209.12

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Solution

The fourth proportional to 374.93, 517.40 and 209.12 is: 288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.93 : 517.40 = 209.12 : x
  2. Step 2: Convert to fraction form
    374.93/517.40 = 209.12/x
  3. Step 3: Cross multiply
    374.93x = 517.40 × 209.12
  4. Step 4: Simplify right side
    374.93x = 108,197.02
  5. Step 5: Solve for x
    x = 108,197.02/374.93
  6. Step 6: Final answer
    x = 288.58

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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.