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Finding the Fourth Proportional to 413.35, 570.31 and 247.63

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Solution

The fourth proportional to 413.35, 570.31 and 247.63 is: 341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.35 : 570.31 = 247.63 : x
  2. Step 2: Convert to fraction form
    413.35/570.31 = 247.63/x
  3. Step 3: Cross multiply
    413.35x = 570.31 × 247.63
  4. Step 4: Simplify right side
    413.35x = 141,225.87
  5. Step 5: Solve for x
    x = 141,225.87/413.35
  6. Step 6: Final answer
    x = 341.66

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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.