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Finding the Fourth Proportional to 388.36, 581.88 and 374

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Solution

The fourth proportional to 388.36, 581.88 and 374 is: 560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.36 : 581.88 = 374 : x
  2. Step 2: Convert to fraction form
    388.36/581.88 = 374/x
  3. Step 3: Cross multiply
    388.36x = 581.88 × 374
  4. Step 4: Simplify right side
    388.36x = 217,623.12
  5. Step 5: Solve for x
    x = 217,623.12/388.36
  6. Step 6: Final answer
    x = 560.37

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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.