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Finding the Fourth Proportional to 284.04, 422.69 and 275.40

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Solution

The fourth proportional to 284.04, 422.69 and 275.40 is: 409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.04 : 422.69 = 275.40 : x
  2. Step 2: Convert to fraction form
    284.04/422.69 = 275.40/x
  3. Step 3: Cross multiply
    284.04x = 422.69 × 275.40
  4. Step 4: Simplify right side
    284.04x = 116,407.45
  5. Step 5: Solve for x
    x = 116,407.45/284.04
  6. Step 6: Final answer
    x = 409.83

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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.