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Finding the Fourth Proportional to 285.02, 393.36 and 207.26

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Solution

The fourth proportional to 285.02, 393.36 and 207.26 is: 286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.02 : 393.36 = 207.26 : x
  2. Step 2: Convert to fraction form
    285.02/393.36 = 207.26/x
  3. Step 3: Cross multiply
    285.02x = 393.36 × 207.26
  4. Step 4: Simplify right side
    285.02x = 81,527.79
  5. Step 5: Solve for x
    x = 81,527.79/285.02
  6. Step 6: Final answer
    x = 286.04

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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.