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Finding the Fourth Proportional to 308.99, 425.74 and 210.58

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Solution

The fourth proportional to 308.99, 425.74 and 210.58 is: 290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.99 : 425.74 = 210.58 : x
  2. Step 2: Convert to fraction form
    308.99/425.74 = 210.58/x
  3. Step 3: Cross multiply
    308.99x = 425.74 × 210.58
  4. Step 4: Simplify right side
    308.99x = 89,650.20
  5. Step 5: Solve for x
    x = 89,650.20/308.99
  6. Step 6: Final answer
    x = 290.14

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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.