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Finding the Fourth Proportional to 429.34, 644.10 and 172.84

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Solution

The fourth proportional to 429.34, 644.10 and 172.84 is: 259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.34 : 644.10 = 172.84 : x
  2. Step 2: Convert to fraction form
    429.34/644.10 = 172.84/x
  3. Step 3: Cross multiply
    429.34x = 644.10 × 172.84
  4. Step 4: Simplify right side
    429.34x = 111,326.24
  5. Step 5: Solve for x
    x = 111,326.24/429.34
  6. Step 6: Final answer
    x = 259.30

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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.