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Finding the Fourth Proportional to 486.30, 728.16 and 312.02

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Solution

The fourth proportional to 486.30, 728.16 and 312.02 is: 467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.30 : 728.16 = 312.02 : x
  2. Step 2: Convert to fraction form
    486.30/728.16 = 312.02/x
  3. Step 3: Cross multiply
    486.30x = 728.16 × 312.02
  4. Step 4: Simplify right side
    486.30x = 227,198.40
  5. Step 5: Solve for x
    x = 227,198.40/486.30
  6. Step 6: Final answer
    x = 467.19

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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.