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Finding the Fourth Proportional to 486.69, 670.48 and 339.06

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Solution

The fourth proportional to 486.69, 670.48 and 339.06 is: 467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.69 : 670.48 = 339.06 : x
  2. Step 2: Convert to fraction form
    486.69/670.48 = 339.06/x
  3. Step 3: Cross multiply
    486.69x = 670.48 × 339.06
  4. Step 4: Simplify right side
    486.69x = 227,332.95
  5. Step 5: Solve for x
    x = 227,332.95/486.69
  6. Step 6: Final answer
    x = 467.10

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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.