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Finding the Fourth Proportional to 160.30, 240.45 and 99.45

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Solution

The fourth proportional to 160.30, 240.45 and 99.45 is: 149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.30 : 240.45 = 99.45 : x
  2. Step 2: Convert to fraction form
    160.30/240.45 = 99.45/x
  3. Step 3: Cross multiply
    160.30x = 240.45 × 99.45
  4. Step 4: Simplify right side
    160.30x = 23,912.75
  5. Step 5: Solve for x
    x = 23,912.75/160.30
  6. Step 6: Final answer
    x = 149.18

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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.