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Finding the Fourth Proportional to 214.60, 295.90 and 149.16

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Solution

The fourth proportional to 214.60, 295.90 and 149.16 is: 205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.60 : 295.90 = 149.16 : x
  2. Step 2: Convert to fraction form
    214.60/295.90 = 149.16/x
  3. Step 3: Cross multiply
    214.60x = 295.90 × 149.16
  4. Step 4: Simplify right side
    214.60x = 44,136.44
  5. Step 5: Solve for x
    x = 44,136.44/214.60
  6. Step 6: Final answer
    x = 205.67

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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.