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Finding the Fourth Proportional to 155.55, 233.42 and 74.42

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Solution

The fourth proportional to 155.55, 233.42 and 74.42 is: 111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.55 : 233.42 = 74.42 : x
  2. Step 2: Convert to fraction form
    155.55/233.42 = 74.42/x
  3. Step 3: Cross multiply
    155.55x = 233.42 × 74.42
  4. Step 4: Simplify right side
    155.55x = 17,370.45
  5. Step 5: Solve for x
    x = 17,370.45/155.55
  6. Step 6: Final answer
    x = 111.67

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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.