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Finding the Fourth Proportional to 448.50, 672.87 and 140.42

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Solution

The fourth proportional to 448.50, 672.87 and 140.42 is: 210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.50 : 672.87 = 140.42 : x
  2. Step 2: Convert to fraction form
    448.50/672.87 = 140.42/x
  3. Step 3: Cross multiply
    448.50x = 672.87 × 140.42
  4. Step 4: Simplify right side
    448.50x = 94,484.41
  5. Step 5: Solve for x
    x = 94,484.41/448.50
  6. Step 6: Final answer
    x = 210.67

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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.