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Finding the Fourth Proportional to 418.41, 623.75 and 360.90

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Solution

The fourth proportional to 418.41, 623.75 and 360.90 is: 538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.41 : 623.75 = 360.90 : x
  2. Step 2: Convert to fraction form
    418.41/623.75 = 360.90/x
  3. Step 3: Cross multiply
    418.41x = 623.75 × 360.90
  4. Step 4: Simplify right side
    418.41x = 225,109.57
  5. Step 5: Solve for x
    x = 225,109.57/418.41
  6. Step 6: Final answer
    x = 538.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.