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Finding the Fourth Proportional to 378.37, 566.36 and 262.22

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Solution

The fourth proportional to 378.37, 566.36 and 262.22 is: 392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.37 : 566.36 = 262.22 : x
  2. Step 2: Convert to fraction form
    378.37/566.36 = 262.22/x
  3. Step 3: Cross multiply
    378.37x = 566.36 × 262.22
  4. Step 4: Simplify right side
    378.37x = 148,509.61
  5. Step 5: Solve for x
    x = 148,509.61/378.37
  6. Step 6: Final answer
    x = 392.50

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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.