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Finding the Fourth Proportional to 450.19, 621.25 and 263.77

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Solution

The fourth proportional to 450.19, 621.25 and 263.77 is: 364.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.19 : 621.25 = 263.77 : x
  2. Step 2: Convert to fraction form
    450.19/621.25 = 263.77/x
  3. Step 3: Cross multiply
    450.19x = 621.25 × 263.77
  4. Step 4: Simplify right side
    450.19x = 163,866.45
  5. Step 5: Solve for x
    x = 163,866.45/450.19
  6. Step 6: Final answer
    x = 364.00

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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.