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Finding the Fourth Proportional to 413.68, 619.30 and 259.10

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Solution

The fourth proportional to 413.68, 619.30 and 259.10 is: 387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.68 : 619.30 = 259.10 : x
  2. Step 2: Convert to fraction form
    413.68/619.30 = 259.10/x
  3. Step 3: Cross multiply
    413.68x = 619.30 × 259.10
  4. Step 4: Simplify right side
    413.68x = 160,460.63
  5. Step 5: Solve for x
    x = 160,460.63/413.68
  6. Step 6: Final answer
    x = 387.89

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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.