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Finding the Fourth Proportional to 340.01, 468.99 and 208.88

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Solution

The fourth proportional to 340.01, 468.99 and 208.88 is: 288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.01 : 468.99 = 208.88 : x
  2. Step 2: Convert to fraction form
    340.01/468.99 = 208.88/x
  3. Step 3: Cross multiply
    340.01x = 468.99 × 208.88
  4. Step 4: Simplify right side
    340.01x = 97,960.29
  5. Step 5: Solve for x
    x = 97,960.29/340.01
  6. Step 6: Final answer
    x = 288.11

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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.