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Finding the Fourth Proportional to 448.80, 672.12 and 256.20

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Solution

The fourth proportional to 448.80, 672.12 and 256.20 is: 383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.80 : 672.12 = 256.20 : x
  2. Step 2: Convert to fraction form
    448.80/672.12 = 256.20/x
  3. Step 3: Cross multiply
    448.80x = 672.12 × 256.20
  4. Step 4: Simplify right side
    448.80x = 172,197.14
  5. Step 5: Solve for x
    x = 172,197.14/448.80
  6. Step 6: Final answer
    x = 383.68

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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.