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Finding the Fourth Proportional to 272.16, 375.76 and 184.80

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Solution

The fourth proportional to 272.16, 375.76 and 184.80 is: 255.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.16 : 375.76 = 184.80 : x
  2. Step 2: Convert to fraction form
    272.16/375.76 = 184.80/x
  3. Step 3: Cross multiply
    272.16x = 375.76 × 184.80
  4. Step 4: Simplify right side
    272.16x = 69,440.45
  5. Step 5: Solve for x
    x = 69,440.45/272.16
  6. Step 6: Final answer
    x = 255.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.