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Finding the Fourth Proportional to 443.79, 612.33 and 302.04

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Solution

The fourth proportional to 443.79, 612.33 and 302.04 is: 416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.79 : 612.33 = 302.04 : x
  2. Step 2: Convert to fraction form
    443.79/612.33 = 302.04/x
  3. Step 3: Cross multiply
    443.79x = 612.33 × 302.04
  4. Step 4: Simplify right side
    443.79x = 184,948.15
  5. Step 5: Solve for x
    x = 184,948.15/443.79
  6. Step 6: Final answer
    x = 416.75

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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.