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Finding the Fourth Proportional to 45.40, 68.13 and 30.31

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Solution

The fourth proportional to 45.40, 68.13 and 30.31 is: 45.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.40 : 68.13 = 30.31 : x
  2. Step 2: Convert to fraction form
    45.40/68.13 = 30.31/x
  3. Step 3: Cross multiply
    45.40x = 68.13 × 30.31
  4. Step 4: Simplify right side
    45.40x = 2,065.02
  5. Step 5: Solve for x
    x = 2,065.02/45.40
  6. Step 6: Final answer
    x = 45.49

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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.