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Finding the Fourth Proportional to 152, 209.86 and 102.28

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Solution

The fourth proportional to 152, 209.86 and 102.28 is: 141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152 : 209.86 = 102.28 : x
  2. Step 2: Convert to fraction form
    152/209.86 = 102.28/x
  3. Step 3: Cross multiply
    152x = 209.86 × 102.28
  4. Step 4: Simplify right side
    152x = 21,464.48
  5. Step 5: Solve for x
    x = 21,464.48/152
  6. Step 6: Final answer
    x = 141.21

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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.