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Finding the Fourth Proportional to 152.73, 210.66 and 100.29

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Solution

The fourth proportional to 152.73, 210.66 and 100.29 is: 138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.73 : 210.66 = 100.29 : x
  2. Step 2: Convert to fraction form
    152.73/210.66 = 100.29/x
  3. Step 3: Cross multiply
    152.73x = 210.66 × 100.29
  4. Step 4: Simplify right side
    152.73x = 21,127.09
  5. Step 5: Solve for x
    x = 21,127.09/152.73
  6. Step 6: Final answer
    x = 138.33

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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.