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Finding the Fourth Proportional to 73, 100.64 and 56.60

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Solution

The fourth proportional to 73, 100.64 and 56.60 is: 78.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73 : 100.64 = 56.60 : x
  2. Step 2: Convert to fraction form
    73/100.64 = 56.60/x
  3. Step 3: Cross multiply
    73x = 100.64 × 56.60
  4. Step 4: Simplify right side
    73x = 5,696.22
  5. Step 5: Solve for x
    x = 5,696.22/73
  6. Step 6: Final answer
    x = 78.03

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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.