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Finding the Fourth Proportional to 74.98, 103.49 and 45.89

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Solution

The fourth proportional to 74.98, 103.49 and 45.89 is: 63.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.98 : 103.49 = 45.89 : x
  2. Step 2: Convert to fraction form
    74.98/103.49 = 45.89/x
  3. Step 3: Cross multiply
    74.98x = 103.49 × 45.89
  4. Step 4: Simplify right side
    74.98x = 4,749.16
  5. Step 5: Solve for x
    x = 4,749.16/74.98
  6. Step 6: Final answer
    x = 63.34

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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.