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Finding the Fourth Proportional to 101.63, 153.11 and 92.37

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Solution

The fourth proportional to 101.63, 153.11 and 92.37 is: 139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.63 : 153.11 = 92.37 : x
  2. Step 2: Convert to fraction form
    101.63/153.11 = 92.37/x
  3. Step 3: Cross multiply
    101.63x = 153.11 × 92.37
  4. Step 4: Simplify right side
    101.63x = 14,142.31
  5. Step 5: Solve for x
    x = 14,142.31/101.63
  6. Step 6: Final answer
    x = 139.16

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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.