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Finding the Fourth Proportional to 833.60, 1,249.98 and 256.40

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Solution

The fourth proportional to 833.60, 1,249.98 and 256.40 is: 384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.60 : 1,249.98 = 256.40 : x
  2. Step 2: Convert to fraction form
    833.60/1,249.98 = 256.40/x
  3. Step 3: Cross multiply
    833.60x = 1,249.98 × 256.40
  4. Step 4: Simplify right side
    833.60x = 320,494.87
  5. Step 5: Solve for x
    x = 320,494.87/833.60
  6. Step 6: Final answer
    x = 384.47

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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.