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Finding the Fourth Proportional to 45.36, 68.40 and 42.84

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Solution

The fourth proportional to 45.36, 68.40 and 42.84 is: 64.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.36 : 68.40 = 42.84 : x
  2. Step 2: Convert to fraction form
    45.36/68.40 = 42.84/x
  3. Step 3: Cross multiply
    45.36x = 68.40 × 42.84
  4. Step 4: Simplify right side
    45.36x = 2,930.26
  5. Step 5: Solve for x
    x = 2,930.26/45.36
  6. Step 6: Final answer
    x = 64.60

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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.