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Finding the Fourth Proportional to 153.81, 229.62 and 130.74

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Solution

The fourth proportional to 153.81, 229.62 and 130.74 is: 195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.81 : 229.62 = 130.74 : x
  2. Step 2: Convert to fraction form
    153.81/229.62 = 130.74/x
  3. Step 3: Cross multiply
    153.81x = 229.62 × 130.74
  4. Step 4: Simplify right side
    153.81x = 30,020.52
  5. Step 5: Solve for x
    x = 30,020.52/153.81
  6. Step 6: Final answer
    x = 195.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.