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Finding the Fourth Proportional to 42.50, 64.02 and 35.06

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Solution

The fourth proportional to 42.50, 64.02 and 35.06 is: 52.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.50 : 64.02 = 35.06 : x
  2. Step 2: Convert to fraction form
    42.50/64.02 = 35.06/x
  3. Step 3: Cross multiply
    42.50x = 64.02 × 35.06
  4. Step 4: Simplify right side
    42.50x = 2,244.54
  5. Step 5: Solve for x
    x = 2,244.54/42.50
  6. Step 6: Final answer
    x = 52.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.