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Finding the Fourth Proportional to 434.88, 651.69 and 218.16

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Solution

The fourth proportional to 434.88, 651.69 and 218.16 is: 326.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.88 : 651.69 = 218.16 : x
  2. Step 2: Convert to fraction form
    434.88/651.69 = 218.16/x
  3. Step 3: Cross multiply
    434.88x = 651.69 × 218.16
  4. Step 4: Simplify right side
    434.88x = 142,172.69
  5. Step 5: Solve for x
    x = 142,172.69/434.88
  6. Step 6: Final answer
    x = 326.92

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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.