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Finding the Fourth Proportional to 388.08, 581.76 and 205.20

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Solution

The fourth proportional to 388.08, 581.76 and 205.20 is: 307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.08 : 581.76 = 205.20 : x
  2. Step 2: Convert to fraction form
    388.08/581.76 = 205.20/x
  3. Step 3: Cross multiply
    388.08x = 581.76 × 205.20
  4. Step 4: Simplify right side
    388.08x = 119,377.15
  5. Step 5: Solve for x
    x = 119,377.15/388.08
  6. Step 6: Final answer
    x = 307.61

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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.