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Finding the Fourth Proportional to 413.64, 570.91 and 266.48

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Solution

The fourth proportional to 413.64, 570.91 and 266.48 is: 367.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.64 : 570.91 = 266.48 : x
  2. Step 2: Convert to fraction form
    413.64/570.91 = 266.48/x
  3. Step 3: Cross multiply
    413.64x = 570.91 × 266.48
  4. Step 4: Simplify right side
    413.64x = 152,136.10
  5. Step 5: Solve for x
    x = 152,136.10/413.64
  6. Step 6: Final answer
    x = 367.80

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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.