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Finding the Fourth Proportional to 416.46, 624.66 and 172.98

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Solution

The fourth proportional to 416.46, 624.66 and 172.98 is: 259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.46 : 624.66 = 172.98 : x
  2. Step 2: Convert to fraction form
    416.46/624.66 = 172.98/x
  3. Step 3: Cross multiply
    416.46x = 624.66 × 172.98
  4. Step 4: Simplify right side
    416.46x = 108,053.69
  5. Step 5: Solve for x
    x = 108,053.69/416.46
  6. Step 6: Final answer
    x = 259.46

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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.