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Finding the Fourth Proportional to 413.84, 570.40 and 295.84

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Solution

The fourth proportional to 413.84, 570.40 and 295.84 is: 407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.84 : 570.40 = 295.84 : x
  2. Step 2: Convert to fraction form
    413.84/570.40 = 295.84/x
  3. Step 3: Cross multiply
    413.84x = 570.40 × 295.84
  4. Step 4: Simplify right side
    413.84x = 168,747.14
  5. Step 5: Solve for x
    x = 168,747.14/413.84
  6. Step 6: Final answer
    x = 407.76

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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.