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Finding the Fourth Proportional to 164.95, 247.47 and 78.31

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Solution

The fourth proportional to 164.95, 247.47 and 78.31 is: 117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.95 : 247.47 = 78.31 : x
  2. Step 2: Convert to fraction form
    164.95/247.47 = 78.31/x
  3. Step 3: Cross multiply
    164.95x = 247.47 × 78.31
  4. Step 4: Simplify right side
    164.95x = 19,378.14
  5. Step 5: Solve for x
    x = 19,378.14/164.95
  6. Step 6: Final answer
    x = 117.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.