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Finding the Fourth Proportional to 151.49, 208.94 and 102.35

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Solution

The fourth proportional to 151.49, 208.94 and 102.35 is: 141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.49 : 208.94 = 102.35 : x
  2. Step 2: Convert to fraction form
    151.49/208.94 = 102.35/x
  3. Step 3: Cross multiply
    151.49x = 208.94 × 102.35
  4. Step 4: Simplify right side
    151.49x = 21,383.45
  5. Step 5: Solve for x
    x = 21,383.45/151.49
  6. Step 6: Final answer
    x = 141.16

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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.