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Finding the Fourth Proportional to 104.94, 156.51 and 98.10

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Solution

The fourth proportional to 104.94, 156.51 and 98.10 is: 146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.94 : 156.51 = 98.10 : x
  2. Step 2: Convert to fraction form
    104.94/156.51 = 98.10/x
  3. Step 3: Cross multiply
    104.94x = 156.51 × 98.10
  4. Step 4: Simplify right side
    104.94x = 15,353.63
  5. Step 5: Solve for x
    x = 15,353.63/104.94
  6. Step 6: Final answer
    x = 146.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.