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Finding the Fourth Proportional to 413.14, 619.54 and 153.16

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Solution

The fourth proportional to 413.14, 619.54 and 153.16 is: 229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.14 : 619.54 = 153.16 : x
  2. Step 2: Convert to fraction form
    413.14/619.54 = 153.16/x
  3. Step 3: Cross multiply
    413.14x = 619.54 × 153.16
  4. Step 4: Simplify right side
    413.14x = 94,885.65
  5. Step 5: Solve for x
    x = 94,885.65/413.14
  6. Step 6: Final answer
    x = 229.67

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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.