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Finding the Fourth Proportional to 388.34, 580.25 and 293.90

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Solution

The fourth proportional to 388.34, 580.25 and 293.90 is: 439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.34 : 580.25 = 293.90 : x
  2. Step 2: Convert to fraction form
    388.34/580.25 = 293.90/x
  3. Step 3: Cross multiply
    388.34x = 580.25 × 293.90
  4. Step 4: Simplify right side
    388.34x = 170,537.66
  5. Step 5: Solve for x
    x = 170,537.66/388.34
  6. Step 6: Final answer
    x = 439.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.