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Finding the Fourth Proportional to 165.21, 245.73 and 150.60

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Solution

The fourth proportional to 165.21, 245.73 and 150.60 is: 224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.21 : 245.73 = 150.60 : x
  2. Step 2: Convert to fraction form
    165.21/245.73 = 150.60/x
  3. Step 3: Cross multiply
    165.21x = 245.73 × 150.60
  4. Step 4: Simplify right side
    165.21x = 37,006.94
  5. Step 5: Solve for x
    x = 37,006.94/165.21
  6. Step 6: Final answer
    x = 224.00

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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.