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Finding the Fourth Proportional to 284.76, 392.54 and 201.62

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Solution

The fourth proportional to 284.76, 392.54 and 201.62 is: 277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.76 : 392.54 = 201.62 : x
  2. Step 2: Convert to fraction form
    284.76/392.54 = 201.62/x
  3. Step 3: Cross multiply
    284.76x = 392.54 × 201.62
  4. Step 4: Simplify right side
    284.76x = 79,143.91
  5. Step 5: Solve for x
    x = 79,143.91/284.76
  6. Step 6: Final answer
    x = 277.93

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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.