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Finding the Fourth Proportional to 376.19, 564.15 and 145.02

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Solution

The fourth proportional to 376.19, 564.15 and 145.02 is: 217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.19 : 564.15 = 145.02 : x
  2. Step 2: Convert to fraction form
    376.19/564.15 = 145.02/x
  3. Step 3: Cross multiply
    376.19x = 564.15 × 145.02
  4. Step 4: Simplify right side
    376.19x = 81,813.03
  5. Step 5: Solve for x
    x = 81,813.03/376.19
  6. Step 6: Final answer
    x = 217.48

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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.