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Finding the Fourth Proportional to 505.90, 698.06 and 306.68

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Solution

The fourth proportional to 505.90, 698.06 and 306.68 is: 423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.90 : 698.06 = 306.68 : x
  2. Step 2: Convert to fraction form
    505.90/698.06 = 306.68/x
  3. Step 3: Cross multiply
    505.90x = 698.06 × 306.68
  4. Step 4: Simplify right side
    505.90x = 214,081.04
  5. Step 5: Solve for x
    x = 214,081.04/505.90
  6. Step 6: Final answer
    x = 423.17

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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.