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Finding the Fourth Proportional to 155.23, 233.75 and 136.18

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Solution

The fourth proportional to 155.23, 233.75 and 136.18 is: 205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.23 : 233.75 = 136.18 : x
  2. Step 2: Convert to fraction form
    155.23/233.75 = 136.18/x
  3. Step 3: Cross multiply
    155.23x = 233.75 × 136.18
  4. Step 4: Simplify right side
    155.23x = 31,831.73
  5. Step 5: Solve for x
    x = 31,831.73/155.23
  6. Step 6: Final answer
    x = 205.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.