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Finding the Fourth Proportional to 449.42, 620.13 and 283.35

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Solution

The fourth proportional to 449.42, 620.13 and 283.35 is: 390.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.42 : 620.13 = 283.35 : x
  2. Step 2: Convert to fraction form
    449.42/620.13 = 283.35/x
  3. Step 3: Cross multiply
    449.42x = 620.13 × 283.35
  4. Step 4: Simplify right side
    449.42x = 175,713.84
  5. Step 5: Solve for x
    x = 175,713.84/449.42
  6. Step 6: Final answer
    x = 390.98

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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.