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Finding the Fourth Proportional to 340.31, 469.29 and 207.55

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Solution

The fourth proportional to 340.31, 469.29 and 207.55 is: 286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.31 : 469.29 = 207.55 : x
  2. Step 2: Convert to fraction form
    340.31/469.29 = 207.55/x
  3. Step 3: Cross multiply
    340.31x = 469.29 × 207.55
  4. Step 4: Simplify right side
    340.31x = 97,401.14
  5. Step 5: Solve for x
    x = 97,401.14/340.31
  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.