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Finding the Fourth Proportional to 416.16, 624.21 and 279.45

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Solution

The fourth proportional to 416.16, 624.21 and 279.45 is: 419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.16 : 624.21 = 279.45 : x
  2. Step 2: Convert to fraction form
    416.16/624.21 = 279.45/x
  3. Step 3: Cross multiply
    416.16x = 624.21 × 279.45
  4. Step 4: Simplify right side
    416.16x = 174,435.48
  5. Step 5: Solve for x
    x = 174,435.48/416.16
  6. Step 6: Final answer
    x = 419.15

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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.