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Finding the Fourth Proportional to 284.78, 392.90 and 160.43

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Solution

The fourth proportional to 284.78, 392.90 and 160.43 is: 221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.78 : 392.90 = 160.43 : x
  2. Step 2: Convert to fraction form
    284.78/392.90 = 160.43/x
  3. Step 3: Cross multiply
    284.78x = 392.90 × 160.43
  4. Step 4: Simplify right side
    284.78x = 63,030.98
  5. Step 5: Solve for x
    x = 63,030.98/284.78
  6. Step 6: Final answer
    x = 221.33

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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.