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Finding the Fourth Proportional to 164.76, 248.40 and 162.60

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Solution

The fourth proportional to 164.76, 248.40 and 162.60 is: 245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.76 : 248.40 = 162.60 : x
  2. Step 2: Convert to fraction form
    164.76/248.40 = 162.60/x
  3. Step 3: Cross multiply
    164.76x = 248.40 × 162.60
  4. Step 4: Simplify right side
    164.76x = 40,389.84
  5. Step 5: Solve for x
    x = 40,389.84/164.76
  6. Step 6: Final answer
    x = 245.14

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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.