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Finding the Fourth Proportional to 484.66, 669.17 and 298.40

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Solution

The fourth proportional to 484.66, 669.17 and 298.40 is: 412.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.66 : 669.17 = 298.40 : x
  2. Step 2: Convert to fraction form
    484.66/669.17 = 298.40/x
  3. Step 3: Cross multiply
    484.66x = 669.17 × 298.40
  4. Step 4: Simplify right side
    484.66x = 199,680.33
  5. Step 5: Solve for x
    x = 199,680.33/484.66
  6. Step 6: Final answer
    x = 412.00

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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.