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Finding the Fourth Proportional to 287.00, 427.68 and 279.08

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Solution

The fourth proportional to 287.00, 427.68 and 279.08 is: 415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.00 : 427.68 = 279.08 : x
  2. Step 2: Convert to fraction form
    287.00/427.68 = 279.08/x
  3. Step 3: Cross multiply
    287.00x = 427.68 × 279.08
  4. Step 4: Simplify right side
    287.00x = 119,354.80
  5. Step 5: Solve for x
    x = 119,354.80/287.00
  6. Step 6: Final answer
    x = 415.88

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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.