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Finding the Fourth Proportional to 449.98, 620.67 and 284.40

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Solution

The fourth proportional to 449.98, 620.67 and 284.40 is: 392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.98 : 620.67 = 284.40 : x
  2. Step 2: Convert to fraction form
    449.98/620.67 = 284.40/x
  3. Step 3: Cross multiply
    449.98x = 620.67 × 284.40
  4. Step 4: Simplify right side
    449.98x = 176,518.55
  5. Step 5: Solve for x
    x = 176,518.55/449.98
  6. Step 6: Final answer
    x = 392.28

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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.