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Finding the Fourth Proportional to 378.50, 566.75 and 291.62

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Solution

The fourth proportional to 378.50, 566.75 and 291.62 is: 436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 566.75 = 291.62 : x
  2. Step 2: Convert to fraction form
    378.50/566.75 = 291.62/x
  3. Step 3: Cross multiply
    378.50x = 566.75 × 291.62
  4. Step 4: Simplify right side
    378.50x = 165,277.78
  5. Step 5: Solve for x
    x = 165,277.78/378.50
  6. Step 6: Final answer
    x = 436.67

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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.