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Finding the Fourth Proportional to 413.32, 619.74 and 156.68

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Solution

The fourth proportional to 413.32, 619.74 and 156.68 is: 234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.32 : 619.74 = 156.68 : x
  2. Step 2: Convert to fraction form
    413.32/619.74 = 156.68/x
  3. Step 3: Cross multiply
    413.32x = 619.74 × 156.68
  4. Step 4: Simplify right side
    413.32x = 97,100.86
  5. Step 5: Solve for x
    x = 97,100.86/413.32
  6. Step 6: Final answer
    x = 234.93

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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.