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Finding the Fourth Proportional to 72.23, 107.70 and 70.00

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Solution

The fourth proportional to 72.23, 107.70 and 70.00 is: 104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.23 : 107.70 = 70.00 : x
  2. Step 2: Convert to fraction form
    72.23/107.70 = 70.00/x
  3. Step 3: Cross multiply
    72.23x = 107.70 × 70.00
  4. Step 4: Simplify right side
    72.23x = 7,538.47
  5. Step 5: Solve for x
    x = 7,538.47/72.23
  6. Step 6: Final answer
    x = 104.37

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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.