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Finding the Fourth Proportional to 284.24, 423.34 and 278.24

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Solution

The fourth proportional to 284.24, 423.34 and 278.24 is: 414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.24 : 423.34 = 278.24 : x
  2. Step 2: Convert to fraction form
    284.24/423.34 = 278.24/x
  3. Step 3: Cross multiply
    284.24x = 423.34 × 278.24
  4. Step 4: Simplify right side
    284.24x = 117,790.12
  5. Step 5: Solve for x
    x = 117,790.12/284.24
  6. Step 6: Final answer
    x = 414.40

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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.