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Finding the Fourth Proportional to 378.26, 566.47 and 215.45

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Solution

The fourth proportional to 378.26, 566.47 and 215.45 is: 322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.26 : 566.47 = 215.45 : x
  2. Step 2: Convert to fraction form
    378.26/566.47 = 215.45/x
  3. Step 3: Cross multiply
    378.26x = 566.47 × 215.45
  4. Step 4: Simplify right side
    378.26x = 122,045.96
  5. Step 5: Solve for x
    x = 122,045.96/378.26
  6. Step 6: Final answer
    x = 322.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.