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Finding the Fourth Proportional to 486.04, 670.55 and 311.48

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Solution

The fourth proportional to 486.04, 670.55 and 311.48 is: 429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.04 : 670.55 = 311.48 : x
  2. Step 2: Convert to fraction form
    486.04/670.55 = 311.48/x
  3. Step 3: Cross multiply
    486.04x = 670.55 × 311.48
  4. Step 4: Simplify right side
    486.04x = 208,866.63
  5. Step 5: Solve for x
    x = 208,866.63/486.04
  6. Step 6: Final answer
    x = 429.73

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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.