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Finding the Fourth Proportional to 413.53, 570.64 and 247.77

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Solution

The fourth proportional to 413.53, 570.64 and 247.77 is: 341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.53 : 570.64 = 247.77 : x
  2. Step 2: Convert to fraction form
    413.53/570.64 = 247.77/x
  3. Step 3: Cross multiply
    413.53x = 570.64 × 247.77
  4. Step 4: Simplify right side
    413.53x = 141,387.47
  5. Step 5: Solve for x
    x = 141,387.47/413.53
  6. Step 6: Final answer
    x = 341.90

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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.