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Finding the Fourth Proportional to 387.70, 579.34 and 294.64

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Solution

The fourth proportional to 387.70, 579.34 and 294.64 is: 440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.70 : 579.34 = 294.64 : x
  2. Step 2: Convert to fraction form
    387.70/579.34 = 294.64/x
  3. Step 3: Cross multiply
    387.70x = 579.34 × 294.64
  4. Step 4: Simplify right side
    387.70x = 170,694.00
  5. Step 5: Solve for x
    x = 170,694.00/387.70
  6. Step 6: Final answer
    x = 440.28

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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.