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Finding the Fourth Proportional to 172.24, 238 and 123.28

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Solution

The fourth proportional to 172.24, 238 and 123.28 is: 170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.24 : 238 = 123.28 : x
  2. Step 2: Convert to fraction form
    172.24/238 = 123.28/x
  3. Step 3: Cross multiply
    172.24x = 238 × 123.28
  4. Step 4: Simplify right side
    172.24x = 29,340.64
  5. Step 5: Solve for x
    x = 29,340.64/172.24
  6. Step 6: Final answer
    x = 170.35

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1.5x scale

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.