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Finding the Fourth Proportional to 308.48, 426.05 and 210.06

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Solution

The fourth proportional to 308.48, 426.05 and 210.06 is: 290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.48 : 426.05 = 210.06 : x
  2. Step 2: Convert to fraction form
    308.48/426.05 = 210.06/x
  3. Step 3: Cross multiply
    308.48x = 426.05 × 210.06
  4. Step 4: Simplify right side
    308.48x = 89,495.01
  5. Step 5: Solve for x
    x = 89,495.01/308.48
  6. Step 6: Final answer
    x = 290.12

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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.