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Finding the Fourth Proportional to 387.28, 580.01 and 305.58

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Solution

The fourth proportional to 387.28, 580.01 and 305.58 is: 457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.28 : 580.01 = 305.58 : x
  2. Step 2: Convert to fraction form
    387.28/580.01 = 305.58/x
  3. Step 3: Cross multiply
    387.28x = 580.01 × 305.58
  4. Step 4: Simplify right side
    387.28x = 177,235.03
  5. Step 5: Solve for x
    x = 177,235.03/387.28
  6. Step 6: Final answer
    x = 457.64

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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.