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Finding the Fourth Proportional to 272.16, 374.58 and 216.72

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Solution

The fourth proportional to 272.16, 374.58 and 216.72 is: 298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.16 : 374.58 = 216.72 : x
  2. Step 2: Convert to fraction form
    272.16/374.58 = 216.72/x
  3. Step 3: Cross multiply
    272.16x = 374.58 × 216.72
  4. Step 4: Simplify right side
    272.16x = 81,178.98
  5. Step 5: Solve for x
    x = 81,178.98/272.16
  6. Step 6: Final answer
    x = 298.28

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Why These Related Problems?

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