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Finding the Fourth Proportional to 486.42, 728.82 and 212.10

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Solution

The fourth proportional to 486.42, 728.82 and 212.10 is: 317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.42 : 728.82 = 212.10 : x
  2. Step 2: Convert to fraction form
    486.42/728.82 = 212.10/x
  3. Step 3: Cross multiply
    486.42x = 728.82 × 212.10
  4. Step 4: Simplify right side
    486.42x = 154,582.72
  5. Step 5: Solve for x
    x = 154,582.72/486.42
  6. Step 6: Final answer
    x = 317.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.