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Finding the Fourth Proportional to 104.66, 157.75 and 98.78

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Solution

The fourth proportional to 104.66, 157.75 and 98.78 is: 148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.66 : 157.75 = 98.78 : x
  2. Step 2: Convert to fraction form
    104.66/157.75 = 98.78/x
  3. Step 3: Cross multiply
    104.66x = 157.75 × 98.78
  4. Step 4: Simplify right side
    104.66x = 15,582.55
  5. Step 5: Solve for x
    x = 15,582.55/104.66
  6. Step 6: Final answer
    x = 148.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.