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Finding the Fourth Proportional to 416.08, 623.41 and 294.11

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Solution

The fourth proportional to 416.08, 623.41 and 294.11 is: 440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.08 : 623.41 = 294.11 : x
  2. Step 2: Convert to fraction form
    416.08/623.41 = 294.11/x
  3. Step 3: Cross multiply
    416.08x = 623.41 × 294.11
  4. Step 4: Simplify right side
    416.08x = 183,347.26
  5. Step 5: Solve for x
    x = 183,347.26/416.08
  6. Step 6: Final answer
    x = 440.66

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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.