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Finding the Fourth Proportional to 356.53, 534.80 and 275.47

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Solution

The fourth proportional to 356.53, 534.80 and 275.47 is: 413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.53 : 534.80 = 275.47 : x
  2. Step 2: Convert to fraction form
    356.53/534.80 = 275.47/x
  3. Step 3: Cross multiply
    356.53x = 534.80 × 275.47
  4. Step 4: Simplify right side
    356.53x = 147,321.36
  5. Step 5: Solve for x
    x = 147,321.36/356.53
  6. Step 6: Final answer
    x = 413.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.