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Finding the Fourth Proportional to 287.04, 428.00 and 274.36

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Solution

The fourth proportional to 287.04, 428.00 and 274.36 is: 409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.04 : 428.00 = 274.36 : x
  2. Step 2: Convert to fraction form
    287.04/428.00 = 274.36/x
  3. Step 3: Cross multiply
    287.04x = 428.00 × 274.36
  4. Step 4: Simplify right side
    287.04x = 117,425.74
  5. Step 5: Solve for x
    x = 117,425.74/287.04
  6. Step 6: Final answer
    x = 409.09

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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.