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Finding the Fourth Proportional to 149.28, 222.80 and 145.63

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Solution

The fourth proportional to 149.28, 222.80 and 145.63 is: 217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.28 : 222.80 = 145.63 : x
  2. Step 2: Convert to fraction form
    149.28/222.80 = 145.63/x
  3. Step 3: Cross multiply
    149.28x = 222.80 × 145.63
  4. Step 4: Simplify right side
    149.28x = 32,446.36
  5. Step 5: Solve for x
    x = 32,446.36/149.28
  6. Step 6: Final answer
    x = 217.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.