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Finding the Fourth Proportional to 22.51, 31.05 and 13.30

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Solution

The fourth proportional to 22.51, 31.05 and 13.30 is: 18.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.51 : 31.05 = 13.30 : x
  2. Step 2: Convert to fraction form
    22.51/31.05 = 13.30/x
  3. Step 3: Cross multiply
    22.51x = 31.05 × 13.30
  4. Step 4: Simplify right side
    22.51x = 412.79
  5. Step 5: Solve for x
    x = 412.79/22.51
  6. Step 6: Final answer
    x = 18.34

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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.