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Finding the Fourth Proportional to 508.18, 700.96 and 308.96

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Solution

The fourth proportional to 508.18, 700.96 and 308.96 is: 426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.18 : 700.96 = 308.96 : x
  2. Step 2: Convert to fraction form
    508.18/700.96 = 308.96/x
  3. Step 3: Cross multiply
    508.18x = 700.96 × 308.96
  4. Step 4: Simplify right side
    508.18x = 216,568.60
  5. Step 5: Solve for x
    x = 216,568.60/508.18
  6. Step 6: Final answer
    x = 426.17

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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.