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Finding the Fourth Proportional to 42.84, 64.37 and 38.07

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Solution

The fourth proportional to 42.84, 64.37 and 38.07 is: 57.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.84 : 64.37 = 38.07 : x
  2. Step 2: Convert to fraction form
    42.84/64.37 = 38.07/x
  3. Step 3: Cross multiply
    42.84x = 64.37 × 38.07
  4. Step 4: Simplify right side
    42.84x = 2,450.66
  5. Step 5: Solve for x
    x = 2,450.66/42.84
  6. Step 6: Final answer
    x = 57.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.