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Finding the Fourth Proportional to 833.47, 1,249.84 and 256.21

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Solution

The fourth proportional to 833.47, 1,249.84 and 256.21 is: 384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.47 : 1,249.84 = 256.21 : x
  2. Step 2: Convert to fraction form
    833.47/1,249.84 = 256.21/x
  3. Step 3: Cross multiply
    833.47x = 1,249.84 × 256.21
  4. Step 4: Simplify right side
    833.47x = 320,221.51
  5. Step 5: Solve for x
    x = 320,221.51/833.47
  6. Step 6: Final answer
    x = 384.20

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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.