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Finding the Fourth Proportional to 387.66, 579.87 and 295.32

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Solution

The fourth proportional to 387.66, 579.87 and 295.32 is: 441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.66 : 579.87 = 295.32 : x
  2. Step 2: Convert to fraction form
    387.66/579.87 = 295.32/x
  3. Step 3: Cross multiply
    387.66x = 579.87 × 295.32
  4. Step 4: Simplify right side
    387.66x = 171,247.21
  5. Step 5: Solve for x
    x = 171,247.21/387.66
  6. Step 6: Final answer
    x = 441.75

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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.