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Finding the Fourth Proportional to 153.41, 211.94 and 130.33

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Solution

The fourth proportional to 153.41, 211.94 and 130.33 is: 180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.41 : 211.94 = 130.33 : x
  2. Step 2: Convert to fraction form
    153.41/211.94 = 130.33/x
  3. Step 3: Cross multiply
    153.41x = 211.94 × 130.33
  4. Step 4: Simplify right side
    153.41x = 27,623.20
  5. Step 5: Solve for x
    x = 27,623.20/153.41
  6. Step 6: Final answer
    x = 180.07

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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.