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Finding the Fourth Proportional to 340.14, 469.38 and 207.44

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Solution

The fourth proportional to 340.14, 469.38 and 207.44 is: 286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.14 : 469.38 = 207.44 : x
  2. Step 2: Convert to fraction form
    340.14/469.38 = 207.44/x
  3. Step 3: Cross multiply
    340.14x = 469.38 × 207.44
  4. Step 4: Simplify right side
    340.14x = 97,365.84
  5. Step 5: Solve for x
    x = 97,365.84/340.14
  6. Step 6: Final answer
    x = 286.25

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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.