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Finding the Fourth Proportional to 371.84, 557.64 and 174.11

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Solution

The fourth proportional to 371.84, 557.64 and 174.11 is: 261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.84 : 557.64 = 174.11 : x
  2. Step 2: Convert to fraction form
    371.84/557.64 = 174.11/x
  3. Step 3: Cross multiply
    371.84x = 557.64 × 174.11
  4. Step 4: Simplify right side
    371.84x = 97,087.91
  5. Step 5: Solve for x
    x = 97,087.91/371.84
  6. Step 6: Final answer
    x = 261.10

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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.