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Finding the Fourth Proportional to 417.04, 574.50 and 300.40

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Solution

The fourth proportional to 417.04, 574.50 and 300.40 is: 413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.04 : 574.50 = 300.40 : x
  2. Step 2: Convert to fraction form
    417.04/574.50 = 300.40/x
  3. Step 3: Cross multiply
    417.04x = 574.50 × 300.40
  4. Step 4: Simplify right side
    417.04x = 172,579.80
  5. Step 5: Solve for x
    x = 172,579.80/417.04
  6. Step 6: Final answer
    x = 413.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.