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Finding the Fourth Proportional to 388.08, 580.68 and 356.40

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Solution

The fourth proportional to 388.08, 580.68 and 356.40 is: 533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.08 : 580.68 = 356.40 : x
  2. Step 2: Convert to fraction form
    388.08/580.68 = 356.40/x
  3. Step 3: Cross multiply
    388.08x = 580.68 × 356.40
  4. Step 4: Simplify right side
    388.08x = 206,954.35
  5. Step 5: Solve for x
    x = 206,954.35/388.08
  6. Step 6: Final answer
    x = 533.28

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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.