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Finding the Fourth Proportional to 285.61, 393.76 and 207.04

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Solution

The fourth proportional to 285.61, 393.76 and 207.04 is: 285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.61 : 393.76 = 207.04 : x
  2. Step 2: Convert to fraction form
    285.61/393.76 = 207.04/x
  3. Step 3: Cross multiply
    285.61x = 393.76 × 207.04
  4. Step 4: Simplify right side
    285.61x = 81,524.07
  5. Step 5: Solve for x
    x = 81,524.07/285.61
  6. Step 6: Final answer
    x = 285.44

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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.