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Finding the Fourth Proportional to 207.76, 310.16 and 182.32

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Solution

The fourth proportional to 207.76, 310.16 and 182.32 is: 272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.76 : 310.16 = 182.32 : x
  2. Step 2: Convert to fraction form
    207.76/310.16 = 182.32/x
  3. Step 3: Cross multiply
    207.76x = 310.16 × 182.32
  4. Step 4: Simplify right side
    207.76x = 56,548.37
  5. Step 5: Solve for x
    x = 56,548.37/207.76
  6. Step 6: Final answer
    x = 272.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.