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Finding the Fourth Proportional to 151.15, 208.35 and 120.01

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Solution

The fourth proportional to 151.15, 208.35 and 120.01 is: 165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.15 : 208.35 = 120.01 : x
  2. Step 2: Convert to fraction form
    151.15/208.35 = 120.01/x
  3. Step 3: Cross multiply
    151.15x = 208.35 × 120.01
  4. Step 4: Simplify right side
    151.15x = 25,004.08
  5. Step 5: Solve for x
    x = 25,004.08/151.15
  6. Step 6: Final answer
    x = 165.43

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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.