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Finding the Fourth Proportional to 281.30, 387.64 and 207.49

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Solution

The fourth proportional to 281.30, 387.64 and 207.49 is: 285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.30 : 387.64 = 207.49 : x
  2. Step 2: Convert to fraction form
    281.30/387.64 = 207.49/x
  3. Step 3: Cross multiply
    281.30x = 387.64 × 207.49
  4. Step 4: Simplify right side
    281.30x = 80,431.42
  5. Step 5: Solve for x
    x = 80,431.42/281.30
  6. Step 6: Final answer
    x = 285.93

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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.