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Finding the Fourth Proportional to 416.07, 623.99 and 300.17

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Solution

The fourth proportional to 416.07, 623.99 and 300.17 is: 450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.07 : 623.99 = 300.17 : x
  2. Step 2: Convert to fraction form
    416.07/623.99 = 300.17/x
  3. Step 3: Cross multiply
    416.07x = 623.99 × 300.17
  4. Step 4: Simplify right side
    416.07x = 187,298.46
  5. Step 5: Solve for x
    x = 187,298.46/416.07
  6. Step 6: Final answer
    x = 450.16

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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.