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Finding the Fourth Proportional to 388.45, 581.46 and 290.38

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Solution

The fourth proportional to 388.45, 581.46 and 290.38 is: 434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.45 : 581.46 = 290.38 : x
  2. Step 2: Convert to fraction form
    388.45/581.46 = 290.38/x
  3. Step 3: Cross multiply
    388.45x = 581.46 × 290.38
  4. Step 4: Simplify right side
    388.45x = 168,844.35
  5. Step 5: Solve for x
    x = 168,844.35/388.45
  6. Step 6: Final answer
    x = 434.66

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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.