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Finding the Fourth Proportional to 240.02, 330.72 and 162.26

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Solution

The fourth proportional to 240.02, 330.72 and 162.26 is: 223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.02 : 330.72 = 162.26 : x
  2. Step 2: Convert to fraction form
    240.02/330.72 = 162.26/x
  3. Step 3: Cross multiply
    240.02x = 330.72 × 162.26
  4. Step 4: Simplify right side
    240.02x = 53,662.63
  5. Step 5: Solve for x
    x = 53,662.63/240.02
  6. Step 6: Final answer
    x = 223.58

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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.