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Finding the Fourth Proportional to 448.49, 672.29 and 188.57

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Solution

The fourth proportional to 448.49, 672.29 and 188.57 is: 282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.49 : 672.29 = 188.57 : x
  2. Step 2: Convert to fraction form
    448.49/672.29 = 188.57/x
  3. Step 3: Cross multiply
    448.49x = 672.29 × 188.57
  4. Step 4: Simplify right side
    448.49x = 126,769.42
  5. Step 5: Solve for x
    x = 126,769.42/448.49
  6. Step 6: Final answer
    x = 282.66

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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.