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Finding the Fourth Proportional to 301.40, 413.14 and 297.30

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Solution

The fourth proportional to 301.40, 413.14 and 297.30 is: 407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.40 : 413.14 = 297.30 : x
  2. Step 2: Convert to fraction form
    301.40/413.14 = 297.30/x
  3. Step 3: Cross multiply
    301.40x = 413.14 × 297.30
  4. Step 4: Simplify right side
    301.40x = 122,823.98
  5. Step 5: Solve for x
    x = 122,823.98/301.40
  6. Step 6: Final answer
    x = 407.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.