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Finding the Fourth Proportional to 380.21, 569.85 and 197.50

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Solution

The fourth proportional to 380.21, 569.85 and 197.50 is: 296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.21 : 569.85 = 197.50 : x
  2. Step 2: Convert to fraction form
    380.21/569.85 = 197.50/x
  3. Step 3: Cross multiply
    380.21x = 569.85 × 197.50
  4. Step 4: Simplify right side
    380.21x = 112,542.53
  5. Step 5: Solve for x
    x = 112,542.53/380.21
  6. Step 6: Final answer
    x = 296.00

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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.