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Finding the Fourth Proportional to 45.30, 67.98 and 30.81

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Solution

The fourth proportional to 45.30, 67.98 and 30.81 is: 46.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.30 : 67.98 = 30.81 : x
  2. Step 2: Convert to fraction form
    45.30/67.98 = 30.81/x
  3. Step 3: Cross multiply
    45.30x = 67.98 × 30.81
  4. Step 4: Simplify right side
    45.30x = 2,094.46
  5. Step 5: Solve for x
    x = 2,094.46/45.30
  6. Step 6: Final answer
    x = 46.24

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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.