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Finding the Fourth Proportional to 153.66, 230.42 and 76.65

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Solution

The fourth proportional to 153.66, 230.42 and 76.65 is: 114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.66 : 230.42 = 76.65 : x
  2. Step 2: Convert to fraction form
    153.66/230.42 = 76.65/x
  3. Step 3: Cross multiply
    153.66x = 230.42 × 76.65
  4. Step 4: Simplify right side
    153.66x = 17,661.31
  5. Step 5: Solve for x
    x = 17,661.31/153.66
  6. Step 6: Final answer
    x = 114.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.