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Finding the Fourth Proportional to 30.22, 45.28 and 23.47

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Solution

The fourth proportional to 30.22, 45.28 and 23.47 is: 35.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.22 : 45.28 = 23.47 : x
  2. Step 2: Convert to fraction form
    30.22/45.28 = 23.47/x
  3. Step 3: Cross multiply
    30.22x = 45.28 × 23.47
  4. Step 4: Simplify right side
    30.22x = 1,062.72
  5. Step 5: Solve for x
    x = 1,062.72/30.22
  6. Step 6: Final answer
    x = 35.17

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Why These Related Problems?

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