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Finding the Fourth Proportional to 433.98, 651.06 and 217.50

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Solution

The fourth proportional to 433.98, 651.06 and 217.50 is: 326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.98 : 651.06 = 217.50 : x
  2. Step 2: Convert to fraction form
    433.98/651.06 = 217.50/x
  3. Step 3: Cross multiply
    433.98x = 651.06 × 217.50
  4. Step 4: Simplify right side
    433.98x = 141,605.55
  5. Step 5: Solve for x
    x = 141,605.55/433.98
  6. Step 6: Final answer
    x = 326.30

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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.