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Finding the Fourth Proportional to 74.78, 102.72 and 73.34

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Solution

The fourth proportional to 74.78, 102.72 and 73.34 is: 100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.78 : 102.72 = 73.34 : x
  2. Step 2: Convert to fraction form
    74.78/102.72 = 73.34/x
  3. Step 3: Cross multiply
    74.78x = 102.72 × 73.34
  4. Step 4: Simplify right side
    74.78x = 7,533.12
  5. Step 5: Solve for x
    x = 7,533.12/74.78
  6. Step 6: Final answer
    x = 100.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.