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Finding the Fourth Proportional to 378.41, 567.55 and 147.40

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Solution

The fourth proportional to 378.41, 567.55 and 147.40 is: 221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.41 : 567.55 = 147.40 : x
  2. Step 2: Convert to fraction form
    378.41/567.55 = 147.40/x
  3. Step 3: Cross multiply
    378.41x = 567.55 × 147.40
  4. Step 4: Simplify right side
    378.41x = 83,656.87
  5. Step 5: Solve for x
    x = 83,656.87/378.41
  6. Step 6: Final answer
    x = 221.07

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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.