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Finding the Fourth Proportional to 450.25, 621.62 and 295.27

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Solution

The fourth proportional to 450.25, 621.62 and 295.27 is: 407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.25 : 621.62 = 295.27 : x
  2. Step 2: Convert to fraction form
    450.25/621.62 = 295.27/x
  3. Step 3: Cross multiply
    450.25x = 621.62 × 295.27
  4. Step 4: Simplify right side
    450.25x = 183,545.74
  5. Step 5: Solve for x
    x = 183,545.74/450.25
  6. Step 6: Final answer
    x = 407.65

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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.