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Finding the Fourth Proportional to 175.40, 264.35 and 164.60

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Solution

The fourth proportional to 175.40, 264.35 and 164.60 is: 248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.40 : 264.35 = 164.60 : x
  2. Step 2: Convert to fraction form
    175.40/264.35 = 164.60/x
  3. Step 3: Cross multiply
    175.40x = 264.35 × 164.60
  4. Step 4: Simplify right side
    175.40x = 43,512.01
  5. Step 5: Solve for x
    x = 43,512.01/175.40
  6. Step 6: Final answer
    x = 248.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.