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Finding the Fourth Proportional to 378.09, 566.53 and 286.67

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Solution

The fourth proportional to 378.09, 566.53 and 286.67 is: 429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.09 : 566.53 = 286.67 : x
  2. Step 2: Convert to fraction form
    378.09/566.53 = 286.67/x
  3. Step 3: Cross multiply
    378.09x = 566.53 × 286.67
  4. Step 4: Simplify right side
    378.09x = 162,407.85
  5. Step 5: Solve for x
    x = 162,407.85/378.09
  6. Step 6: Final answer
    x = 429.55

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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.