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Finding the Fourth Proportional to 207.92, 310 and 203.06

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Solution

The fourth proportional to 207.92, 310 and 203.06 is: 302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.92 : 310 = 203.06 : x
  2. Step 2: Convert to fraction form
    207.92/310 = 203.06/x
  3. Step 3: Cross multiply
    207.92x = 310 × 203.06
  4. Step 4: Simplify right side
    207.92x = 62,948.60
  5. Step 5: Solve for x
    x = 62,948.60/207.92
  6. Step 6: Final answer
    x = 302.75

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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.