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Finding the Fourth Proportional to 486.02, 728.86 and 212.05

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Solution

The fourth proportional to 486.02, 728.86 and 212.05 is: 318.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.02 : 728.86 = 212.05 : x
  2. Step 2: Convert to fraction form
    486.02/728.86 = 212.05/x
  3. Step 3: Cross multiply
    486.02x = 728.86 × 212.05
  4. Step 4: Simplify right side
    486.02x = 154,554.76
  5. Step 5: Solve for x
    x = 154,554.76/486.02
  6. Step 6: Final answer
    x = 318.00

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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.