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Finding the Fourth Proportional to 284.10, 423.89 and 257.19

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Solution

The fourth proportional to 284.10, 423.89 and 257.19 is: 383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.10 : 423.89 = 257.19 : x
  2. Step 2: Convert to fraction form
    284.10/423.89 = 257.19/x
  3. Step 3: Cross multiply
    284.10x = 423.89 × 257.19
  4. Step 4: Simplify right side
    284.10x = 109,018.98
  5. Step 5: Solve for x
    x = 109,018.98/284.10
  6. Step 6: Final answer
    x = 383.73

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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.