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Finding the Fourth Proportional to 62.16, 92.72 and 54.08

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Solution

The fourth proportional to 62.16, 92.72 and 54.08 is: 80.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.16 : 92.72 = 54.08 : x
  2. Step 2: Convert to fraction form
    62.16/92.72 = 54.08/x
  3. Step 3: Cross multiply
    62.16x = 92.72 × 54.08
  4. Step 4: Simplify right side
    62.16x = 5,014.30
  5. Step 5: Solve for x
    x = 5,014.30/62.16
  6. Step 6: Final answer
    x = 80.67

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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.