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Finding the Fourth Proportional to 155.64, 232.36 and 131.34

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Solution

The fourth proportional to 155.64, 232.36 and 131.34 is: 196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.64 : 232.36 = 131.34 : x
  2. Step 2: Convert to fraction form
    155.64/232.36 = 131.34/x
  3. Step 3: Cross multiply
    155.64x = 232.36 × 131.34
  4. Step 4: Simplify right side
    155.64x = 30,518.16
  5. Step 5: Solve for x
    x = 30,518.16/155.64
  6. Step 6: Final answer
    x = 196.08

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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.