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Finding the Fourth Proportional to 284.91, 392.67 and 238.29

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Solution

The fourth proportional to 284.91, 392.67 and 238.29 is: 328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.91 : 392.67 = 238.29 : x
  2. Step 2: Convert to fraction form
    284.91/392.67 = 238.29/x
  3. Step 3: Cross multiply
    284.91x = 392.67 × 238.29
  4. Step 4: Simplify right side
    284.91x = 93,569.33
  5. Step 5: Solve for x
    x = 93,569.33/284.91
  6. Step 6: Final answer
    x = 328.42

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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.