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Finding the Fourth Proportional to 164.95, 227.50 and 99.39

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Solution

The fourth proportional to 164.95, 227.50 and 99.39 is: 137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.95 : 227.50 = 99.39 : x
  2. Step 2: Convert to fraction form
    164.95/227.50 = 99.39/x
  3. Step 3: Cross multiply
    164.95x = 227.50 × 99.39
  4. Step 4: Simplify right side
    164.95x = 22,611.23
  5. Step 5: Solve for x
    x = 22,611.23/164.95
  6. Step 6: Final answer
    x = 137.08

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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.