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Finding the Fourth Proportional to 207.36, 307.80 and 193.86

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Solution

The fourth proportional to 207.36, 307.80 and 193.86 is: 287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.36 : 307.80 = 193.86 : x
  2. Step 2: Convert to fraction form
    207.36/307.80 = 193.86/x
  3. Step 3: Cross multiply
    207.36x = 307.80 × 193.86
  4. Step 4: Simplify right side
    207.36x = 59,670.11
  5. Step 5: Solve for x
    x = 59,670.11/207.36
  6. Step 6: Final answer
    x = 287.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.