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Finding the Fourth Proportional to 378.03, 521.71 and 230.63

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Solution

The fourth proportional to 378.03, 521.71 and 230.63 is: 318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.03 : 521.71 = 230.63 : x
  2. Step 2: Convert to fraction form
    378.03/521.71 = 230.63/x
  3. Step 3: Cross multiply
    378.03x = 521.71 × 230.63
  4. Step 4: Simplify right side
    378.03x = 120,318.79
  5. Step 5: Solve for x
    x = 120,318.79/378.03
  6. Step 6: Final answer
    x = 318.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.