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Finding the Fourth Proportional to 164.16, 244.80 and 137.28

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Solution

The fourth proportional to 164.16, 244.80 and 137.28 is: 204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.16 : 244.80 = 137.28 : x
  2. Step 2: Convert to fraction form
    164.16/244.80 = 137.28/x
  3. Step 3: Cross multiply
    164.16x = 244.80 × 137.28
  4. Step 4: Simplify right side
    164.16x = 33,606.14
  5. Step 5: Solve for x
    x = 33,606.14/164.16
  6. Step 6: Final answer
    x = 204.72

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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.