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Finding the Fourth Proportional to 450.36, 621.53 and 263.83

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Solution

The fourth proportional to 450.36, 621.53 and 263.83 is: 364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.36 : 621.53 = 263.83 : x
  2. Step 2: Convert to fraction form
    450.36/621.53 = 263.83/x
  3. Step 3: Cross multiply
    450.36x = 621.53 × 263.83
  4. Step 4: Simplify right side
    450.36x = 163,978.26
  5. Step 5: Solve for x
    x = 163,978.26/450.36
  6. Step 6: Final answer
    x = 364.10

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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.