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Finding the Fourth Proportional to 449.96, 621.06 and 317.84

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Solution

The fourth proportional to 449.96, 621.06 and 317.84 is: 438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.96 : 621.06 = 317.84 : x
  2. Step 2: Convert to fraction form
    449.96/621.06 = 317.84/x
  3. Step 3: Cross multiply
    449.96x = 621.06 × 317.84
  4. Step 4: Simplify right side
    449.96x = 197,397.71
  5. Step 5: Solve for x
    x = 197,397.71/449.96
  6. Step 6: Final answer
    x = 438.70

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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.