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Finding the Fourth Proportional to 153.13, 211.31 and 84.13

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Solution

The fourth proportional to 153.13, 211.31 and 84.13 is: 116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.13 : 211.31 = 84.13 : x
  2. Step 2: Convert to fraction form
    153.13/211.31 = 84.13/x
  3. Step 3: Cross multiply
    153.13x = 211.31 × 84.13
  4. Step 4: Simplify right side
    153.13x = 17,777.51
  5. Step 5: Solve for x
    x = 17,777.51/153.13
  6. Step 6: Final answer
    x = 116.09

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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.