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Finding the Fourth Proportional to 284.46, 428.44 and 266.24

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Solution

The fourth proportional to 284.46, 428.44 and 266.24 is: 400.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.46 : 428.44 = 266.24 : x
  2. Step 2: Convert to fraction form
    284.46/428.44 = 266.24/x
  3. Step 3: Cross multiply
    284.46x = 428.44 × 266.24
  4. Step 4: Simplify right side
    284.46x = 114,066.36
  5. Step 5: Solve for x
    x = 114,066.36/284.46
  6. Step 6: Final answer
    x = 400.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.