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Finding the Fourth Proportional to 101.93, 153.63 and 100.31

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Solution

The fourth proportional to 101.93, 153.63 and 100.31 is: 151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.93 : 153.63 = 100.31 : x
  2. Step 2: Convert to fraction form
    101.93/153.63 = 100.31/x
  3. Step 3: Cross multiply
    101.93x = 153.63 × 100.31
  4. Step 4: Simplify right side
    101.93x = 15,409.86
  5. Step 5: Solve for x
    x = 15,409.86/101.93
  6. Step 6: Final answer
    x = 151.19

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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.