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Finding the Fourth Proportional to 73.43, 109.65 and 64.31

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Solution

The fourth proportional to 73.43, 109.65 and 64.31 is: 96.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.43 : 109.65 = 64.31 : x
  2. Step 2: Convert to fraction form
    73.43/109.65 = 64.31/x
  3. Step 3: Cross multiply
    73.43x = 109.65 × 64.31
  4. Step 4: Simplify right side
    73.43x = 7,051.59
  5. Step 5: Solve for x
    x = 7,051.59/73.43
  6. Step 6: Final answer
    x = 96.03

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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.