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Finding the Fourth Proportional to 448.40, 672.69 and 188.25

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Solution

The fourth proportional to 448.40, 672.69 and 188.25 is: 282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.40 : 672.69 = 188.25 : x
  2. Step 2: Convert to fraction form
    448.40/672.69 = 188.25/x
  3. Step 3: Cross multiply
    448.40x = 672.69 × 188.25
  4. Step 4: Simplify right side
    448.40x = 126,633.89
  5. Step 5: Solve for x
    x = 126,633.89/448.40
  6. Step 6: Final answer
    x = 282.42

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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.