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Finding the Fourth Proportional to 284.99, 425.71 and 197.59

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Solution

The fourth proportional to 284.99, 425.71 and 197.59 is: 295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.99 : 425.71 = 197.59 : x
  2. Step 2: Convert to fraction form
    284.99/425.71 = 197.59/x
  3. Step 3: Cross multiply
    284.99x = 425.71 × 197.59
  4. Step 4: Simplify right side
    284.99x = 84,114.91
  5. Step 5: Solve for x
    x = 84,114.91/284.99
  6. Step 6: Final answer
    x = 295.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.