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Finding the Fourth Proportional to 209.56, 313.62 and 155.32

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Solution

The fourth proportional to 209.56, 313.62 and 155.32 is: 232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.56 : 313.62 = 155.32 : x
  2. Step 2: Convert to fraction form
    209.56/313.62 = 155.32/x
  3. Step 3: Cross multiply
    209.56x = 313.62 × 155.32
  4. Step 4: Simplify right side
    209.56x = 48,711.46
  5. Step 5: Solve for x
    x = 48,711.46/209.56
  6. Step 6: Final answer
    x = 232.45

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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.