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Finding the Fourth Proportional to 356.65, 533.94 and 301.81

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Solution

The fourth proportional to 356.65, 533.94 and 301.81 is: 451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.65 : 533.94 = 301.81 : x
  2. Step 2: Convert to fraction form
    356.65/533.94 = 301.81/x
  3. Step 3: Cross multiply
    356.65x = 533.94 × 301.81
  4. Step 4: Simplify right side
    356.65x = 161,148.43
  5. Step 5: Solve for x
    x = 161,148.43/356.65
  6. Step 6: Final answer
    x = 451.84

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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.