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Finding the Fourth Proportional to 288.98, 433.70 and 212.15

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Solution

The fourth proportional to 288.98, 433.70 and 212.15 is: 318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.98 : 433.70 = 212.15 : x
  2. Step 2: Convert to fraction form
    288.98/433.70 = 212.15/x
  3. Step 3: Cross multiply
    288.98x = 433.70 × 212.15
  4. Step 4: Simplify right side
    288.98x = 92,006.23
  5. Step 5: Solve for x
    x = 92,006.23/288.98
  6. Step 6: Final answer
    x = 318.38

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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.