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Finding the Fourth Proportional to 389.98, 583.70 and 287.22

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Solution

The fourth proportional to 389.98, 583.70 and 287.22 is: 429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.98 : 583.70 = 287.22 : x
  2. Step 2: Convert to fraction form
    389.98/583.70 = 287.22/x
  3. Step 3: Cross multiply
    389.98x = 583.70 × 287.22
  4. Step 4: Simplify right side
    389.98x = 167,648.88
  5. Step 5: Solve for x
    x = 167,648.88/389.98
  6. Step 6: Final answer
    x = 429.89

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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.