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Finding the Fourth Proportional to 221.60, 305.70 and 147.94

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Solution

The fourth proportional to 221.60, 305.70 and 147.94 is: 204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.60 : 305.70 = 147.94 : x
  2. Step 2: Convert to fraction form
    221.60/305.70 = 147.94/x
  3. Step 3: Cross multiply
    221.60x = 305.70 × 147.94
  4. Step 4: Simplify right side
    221.60x = 45,225.26
  5. Step 5: Solve for x
    x = 45,225.26/221.60
  6. Step 6: Final answer
    x = 204.09

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Why These Related Problems?

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