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Finding the Fourth Proportional to 217.64, 300.22 and 147.60

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Solution

The fourth proportional to 217.64, 300.22 and 147.60 is: 203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.64 : 300.22 = 147.60 : x
  2. Step 2: Convert to fraction form
    217.64/300.22 = 147.60/x
  3. Step 3: Cross multiply
    217.64x = 300.22 × 147.60
  4. Step 4: Simplify right side
    217.64x = 44,312.47
  5. Step 5: Solve for x
    x = 44,312.47/217.64
  6. Step 6: Final answer
    x = 203.60

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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.