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Finding the Fourth Proportional to 45.96, 68.55 and 45.15

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Solution

The fourth proportional to 45.96, 68.55 and 45.15 is: 67.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.96 : 68.55 = 45.15 : x
  2. Step 2: Convert to fraction form
    45.96/68.55 = 45.15/x
  3. Step 3: Cross multiply
    45.96x = 68.55 × 45.15
  4. Step 4: Simplify right side
    45.96x = 3,095.03
  5. Step 5: Solve for x
    x = 3,095.03/45.96
  6. Step 6: Final answer
    x = 67.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.