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Finding the Fourth Proportional to 284.01, 423.96 and 245.75

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Solution

The fourth proportional to 284.01, 423.96 and 245.75 is: 366.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.01 : 423.96 = 245.75 : x
  2. Step 2: Convert to fraction form
    284.01/423.96 = 245.75/x
  3. Step 3: Cross multiply
    284.01x = 423.96 × 245.75
  4. Step 4: Simplify right side
    284.01x = 104,186.05
  5. Step 5: Solve for x
    x = 104,186.05/284.01
  6. Step 6: Final answer
    x = 366.84

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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.