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Finding the Fourth Proportional to 374.41, 517.40 and 269.84

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Solution

The fourth proportional to 374.41, 517.40 and 269.84 is: 372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.41 : 517.40 = 269.84 : x
  2. Step 2: Convert to fraction form
    374.41/517.40 = 269.84/x
  3. Step 3: Cross multiply
    374.41x = 517.40 × 269.84
  4. Step 4: Simplify right side
    374.41x = 139,617.28
  5. Step 5: Solve for x
    x = 139,617.28/374.41
  6. Step 6: Final answer
    x = 372.90

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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.