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Finding the Fourth Proportional to 388.75, 581.91 and 290.67

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Solution

The fourth proportional to 388.75, 581.91 and 290.67 is: 435.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.75 : 581.91 = 290.67 : x
  2. Step 2: Convert to fraction form
    388.75/581.91 = 290.67/x
  3. Step 3: Cross multiply
    388.75x = 581.91 × 290.67
  4. Step 4: Simplify right side
    388.75x = 169,139.42
  5. Step 5: Solve for x
    x = 169,139.42/388.75
  6. Step 6: Final answer
    x = 435.09

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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.