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Finding the Fourth Proportional to 173.63, 261.48 and 152.23

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Solution

The fourth proportional to 173.63, 261.48 and 152.23 is: 229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.63 : 261.48 = 152.23 : x
  2. Step 2: Convert to fraction form
    173.63/261.48 = 152.23/x
  3. Step 3: Cross multiply
    173.63x = 261.48 × 152.23
  4. Step 4: Simplify right side
    173.63x = 39,805.10
  5. Step 5: Solve for x
    x = 39,805.10/173.63
  6. Step 6: Final answer
    x = 229.25

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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.