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Finding the Fourth Proportional to 434.23, 651.04 and 217.66

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Solution

The fourth proportional to 434.23, 651.04 and 217.66 is: 326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.23 : 651.04 = 217.66 : x
  2. Step 2: Convert to fraction form
    434.23/651.04 = 217.66/x
  3. Step 3: Cross multiply
    434.23x = 651.04 × 217.66
  4. Step 4: Simplify right side
    434.23x = 141,705.37
  5. Step 5: Solve for x
    x = 141,705.37/434.23
  6. Step 6: Final answer
    x = 326.34

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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.