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Finding the Fourth Proportional to 448.32, 672.20 and 174.19

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Solution

The fourth proportional to 448.32, 672.20 and 174.19 is: 261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.32 : 672.20 = 174.19 : x
  2. Step 2: Convert to fraction form
    448.32/672.20 = 174.19/x
  3. Step 3: Cross multiply
    448.32x = 672.20 × 174.19
  4. Step 4: Simplify right side
    448.32x = 117,090.52
  5. Step 5: Solve for x
    x = 117,090.52/448.32
  6. Step 6: Final answer
    x = 261.18

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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.