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Finding the Fourth Proportional to 294.66, 404.34 and 283.74

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Solution

The fourth proportional to 294.66, 404.34 and 283.74 is: 389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.66 : 404.34 = 283.74 : x
  2. Step 2: Convert to fraction form
    294.66/404.34 = 283.74/x
  3. Step 3: Cross multiply
    294.66x = 404.34 × 283.74
  4. Step 4: Simplify right side
    294.66x = 114,727.43
  5. Step 5: Solve for x
    x = 114,727.43/294.66
  6. Step 6: Final answer
    x = 389.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.