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Finding the Fourth Proportional to 293.61, 402.61 and 283.31

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Solution

The fourth proportional to 293.61, 402.61 and 283.31 is: 388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.61 : 402.61 = 283.31 : x
  2. Step 2: Convert to fraction form
    293.61/402.61 = 283.31/x
  3. Step 3: Cross multiply
    293.61x = 402.61 × 283.31
  4. Step 4: Simplify right side
    293.61x = 114,060.72
  5. Step 5: Solve for x
    x = 114,060.72/293.61
  6. Step 6: Final answer
    x = 388.48

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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.