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Finding the Fourth Proportional to 450.30, 621.24 and 284.22

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Solution

The fourth proportional to 450.30, 621.24 and 284.22 is: 392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.30 : 621.24 = 284.22 : x
  2. Step 2: Convert to fraction form
    450.30/621.24 = 284.22/x
  3. Step 3: Cross multiply
    450.30x = 621.24 × 284.22
  4. Step 4: Simplify right side
    450.30x = 176,573.00
  5. Step 5: Solve for x
    x = 176,573.00/450.30
  6. Step 6: Final answer
    x = 392.12

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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.