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Finding the Fourth Proportional to 149.64, 223.02 and 145.80

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Solution

The fourth proportional to 149.64, 223.02 and 145.80 is: 217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.64 : 223.02 = 145.80 : x
  2. Step 2: Convert to fraction form
    149.64/223.02 = 145.80/x
  3. Step 3: Cross multiply
    149.64x = 223.02 × 145.80
  4. Step 4: Simplify right side
    149.64x = 32,516.32
  5. Step 5: Solve for x
    x = 32,516.32/149.64
  6. Step 6: Final answer
    x = 217.30

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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.