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Finding the Fourth Proportional to 153.23, 210.42 and 128.61

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Solution

The fourth proportional to 153.23, 210.42 and 128.61 is: 176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.23 : 210.42 = 128.61 : x
  2. Step 2: Convert to fraction form
    153.23/210.42 = 128.61/x
  3. Step 3: Cross multiply
    153.23x = 210.42 × 128.61
  4. Step 4: Simplify right side
    153.23x = 27,062.12
  5. Step 5: Solve for x
    x = 27,062.12/153.23
  6. Step 6: Final answer
    x = 176.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.