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Finding the Fourth Proportional to 45.98, 63.42 and 30.42

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Solution

The fourth proportional to 45.98, 63.42 and 30.42 is: 41.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.98 : 63.42 = 30.42 : x
  2. Step 2: Convert to fraction form
    45.98/63.42 = 30.42/x
  3. Step 3: Cross multiply
    45.98x = 63.42 × 30.42
  4. Step 4: Simplify right side
    45.98x = 1,929.24
  5. Step 5: Solve for x
    x = 1,929.24/45.98
  6. Step 6: Final answer
    x = 41.96

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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.