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Finding the Fourth Proportional to 45.51, 68.33 and 30.31

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Solution

The fourth proportional to 45.51, 68.33 and 30.31 is: 45.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.51 : 68.33 = 30.31 : x
  2. Step 2: Convert to fraction form
    45.51/68.33 = 30.31/x
  3. Step 3: Cross multiply
    45.51x = 68.33 × 30.31
  4. Step 4: Simplify right side
    45.51x = 2,071.02
  5. Step 5: Solve for x
    x = 2,071.02/45.51
  6. Step 6: Final answer
    x = 45.50

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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.