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Finding the Fourth Proportional to 413.49, 570.64 and 247.70

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Solution

The fourth proportional to 413.49, 570.64 and 247.70 is: 341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.49 : 570.64 = 247.70 : x
  2. Step 2: Convert to fraction form
    413.49/570.64 = 247.70/x
  3. Step 3: Cross multiply
    413.49x = 570.64 × 247.70
  4. Step 4: Simplify right side
    413.49x = 141,347.53
  5. Step 5: Solve for x
    x = 141,347.53/413.49
  6. Step 6: Final answer
    x = 341.84

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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.