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Finding the Fourth Proportional to 448.19, 671.80 and 174.20

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Solution

The fourth proportional to 448.19, 671.80 and 174.20 is: 261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.19 : 671.80 = 174.20 : x
  2. Step 2: Convert to fraction form
    448.19/671.80 = 174.20/x
  3. Step 3: Cross multiply
    448.19x = 671.80 × 174.20
  4. Step 4: Simplify right side
    448.19x = 117,027.56
  5. Step 5: Solve for x
    x = 117,027.56/448.19
  6. Step 6: Final answer
    x = 261.11

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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.