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Finding the Fourth Proportional to 387.08, 580.13 and 204.35

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Solution

The fourth proportional to 387.08, 580.13 and 204.35 is: 306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.08 : 580.13 = 204.35 : x
  2. Step 2: Convert to fraction form
    387.08/580.13 = 204.35/x
  3. Step 3: Cross multiply
    387.08x = 580.13 × 204.35
  4. Step 4: Simplify right side
    387.08x = 118,551.53
  5. Step 5: Solve for x
    x = 118,551.53/387.08
  6. Step 6: Final answer
    x = 306.28

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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.