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Finding the Fourth Proportional to 160.70, 241.13 and 74.00

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Solution

The fourth proportional to 160.70, 241.13 and 74.00 is: 111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.70 : 241.13 = 74.00 : x
  2. Step 2: Convert to fraction form
    160.70/241.13 = 74.00/x
  3. Step 3: Cross multiply
    160.70x = 241.13 × 74.00
  4. Step 4: Simplify right side
    160.70x = 17,842.60
  5. Step 5: Solve for x
    x = 17,842.60/160.70
  6. Step 6: Final answer
    x = 111.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.