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Finding the Fourth Proportional to 92.08, 136.48 and 90.64

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Solution

The fourth proportional to 92.08, 136.48 and 90.64 is: 134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.08 : 136.48 = 90.64 : x
  2. Step 2: Convert to fraction form
    92.08/136.48 = 90.64/x
  3. Step 3: Cross multiply
    92.08x = 136.48 × 90.64
  4. Step 4: Simplify right side
    92.08x = 12,370.55
  5. Step 5: Solve for x
    x = 12,370.55/92.08
  6. Step 6: Final answer
    x = 134.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.