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Finding the Fourth Proportional to 340.23, 469.46 and 207.43

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Solution

The fourth proportional to 340.23, 469.46 and 207.43 is: 286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.23 : 469.46 = 207.43 : x
  2. Step 2: Convert to fraction form
    340.23/469.46 = 207.43/x
  3. Step 3: Cross multiply
    340.23x = 469.46 × 207.43
  4. Step 4: Simplify right side
    340.23x = 97,376.70
  5. Step 5: Solve for x
    x = 97,376.70/340.23
  6. Step 6: Final answer
    x = 286.21

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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.