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Finding the Fourth Proportional to 301.00, 451.88 and 288.70

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Solution

The fourth proportional to 301.00, 451.88 and 288.70 is: 433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.00 : 451.88 = 288.70 : x
  2. Step 2: Convert to fraction form
    301.00/451.88 = 288.70/x
  3. Step 3: Cross multiply
    301.00x = 451.88 × 288.70
  4. Step 4: Simplify right side
    301.00x = 130,454.05
  5. Step 5: Solve for x
    x = 130,454.05/301.00
  6. Step 6: Final answer
    x = 433.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.