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Finding the Fourth Proportional to 387.01, 580.08 and 204.01

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Solution

The fourth proportional to 387.01, 580.08 and 204.01 is: 305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.01 : 580.08 = 204.01 : x
  2. Step 2: Convert to fraction form
    387.01/580.08 = 204.01/x
  3. Step 3: Cross multiply
    387.01x = 580.08 × 204.01
  4. Step 4: Simplify right side
    387.01x = 118,342.12
  5. Step 5: Solve for x
    x = 118,342.12/387.01
  6. Step 6: Final answer
    x = 305.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.