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Finding the Fourth Proportional to 151.02, 208.08 and 109.53

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Solution

The fourth proportional to 151.02, 208.08 and 109.53 is: 150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.02 : 208.08 = 109.53 : x
  2. Step 2: Convert to fraction form
    151.02/208.08 = 109.53/x
  3. Step 3: Cross multiply
    151.02x = 208.08 × 109.53
  4. Step 4: Simplify right side
    151.02x = 22,791.00
  5. Step 5: Solve for x
    x = 22,791.00/151.02
  6. Step 6: Final answer
    x = 150.91

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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.