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Finding the Fourth Proportional to 157.06, 216.77 and 108.01

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Solution

The fourth proportional to 157.06, 216.77 and 108.01 is: 149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.06 : 216.77 = 108.01 : x
  2. Step 2: Convert to fraction form
    157.06/216.77 = 108.01/x
  3. Step 3: Cross multiply
    157.06x = 216.77 × 108.01
  4. Step 4: Simplify right side
    157.06x = 23,413.33
  5. Step 5: Solve for x
    x = 23,413.33/157.06
  6. Step 6: Final answer
    x = 149.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.