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Finding the Fourth Proportional to 284.57, 429.48 and 277.28

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Solution

The fourth proportional to 284.57, 429.48 and 277.28 is: 418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.57 : 429.48 = 277.28 : x
  2. Step 2: Convert to fraction form
    284.57/429.48 = 277.28/x
  3. Step 3: Cross multiply
    284.57x = 429.48 × 277.28
  4. Step 4: Simplify right side
    284.57x = 119,086.21
  5. Step 5: Solve for x
    x = 119,086.21/284.57
  6. Step 6: Final answer
    x = 418.48

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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.