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Finding the Fourth Proportional to 356.94, 534.20 and 323.24

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Solution

The fourth proportional to 356.94, 534.20 and 323.24 is: 483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.94 : 534.20 = 323.24 : x
  2. Step 2: Convert to fraction form
    356.94/534.20 = 323.24/x
  3. Step 3: Cross multiply
    356.94x = 534.20 × 323.24
  4. Step 4: Simplify right side
    356.94x = 172,670.52
  5. Step 5: Solve for x
    x = 172,670.52/356.94
  6. Step 6: Final answer
    x = 483.75

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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.