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Finding the Fourth Proportional to 150.18, 205.68 and 145.32

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Solution

The fourth proportional to 150.18, 205.68 and 145.32 is: 199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.18 : 205.68 = 145.32 : x
  2. Step 2: Convert to fraction form
    150.18/205.68 = 145.32/x
  3. Step 3: Cross multiply
    150.18x = 205.68 × 145.32
  4. Step 4: Simplify right side
    150.18x = 29,889.42
  5. Step 5: Solve for x
    x = 29,889.42/150.18
  6. Step 6: Final answer
    x = 199.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.