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Finding the Fourth Proportional to 378.16, 566.25 and 262.26

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Solution

The fourth proportional to 378.16, 566.25 and 262.26 is: 392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.16 : 566.25 = 262.26 : x
  2. Step 2: Convert to fraction form
    378.16/566.25 = 262.26/x
  3. Step 3: Cross multiply
    378.16x = 566.25 × 262.26
  4. Step 4: Simplify right side
    378.16x = 148,504.73
  5. Step 5: Solve for x
    x = 148,504.73/378.16
  6. Step 6: Final answer
    x = 392.70

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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.