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Finding the Fourth Proportional to 62.03, 92.80 and 45.67

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Solution

The fourth proportional to 62.03, 92.80 and 45.67 is: 68.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.03 : 92.80 = 45.67 : x
  2. Step 2: Convert to fraction form
    62.03/92.80 = 45.67/x
  3. Step 3: Cross multiply
    62.03x = 92.80 × 45.67
  4. Step 4: Simplify right side
    62.03x = 4,237.48
  5. Step 5: Solve for x
    x = 4,237.48/62.03
  6. Step 6: Final answer
    x = 68.32

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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.