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Finding the Fourth Proportional to 164.36, 245.40 and 162.72

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Solution

The fourth proportional to 164.36, 245.40 and 162.72 is: 242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.36 : 245.40 = 162.72 : x
  2. Step 2: Convert to fraction form
    164.36/245.40 = 162.72/x
  3. Step 3: Cross multiply
    164.36x = 245.40 × 162.72
  4. Step 4: Simplify right side
    164.36x = 39,932.25
  5. Step 5: Solve for x
    x = 39,932.25/164.36
  6. Step 6: Final answer
    x = 242.95

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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.