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Finding the Fourth Proportional to 340.31, 469.64 and 192.89

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Solution

The fourth proportional to 340.31, 469.64 and 192.89 is: 266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.31 : 469.64 = 192.89 : x
  2. Step 2: Convert to fraction form
    340.31/469.64 = 192.89/x
  3. Step 3: Cross multiply
    340.31x = 469.64 × 192.89
  4. Step 4: Simplify right side
    340.31x = 90,586.99
  5. Step 5: Solve for x
    x = 90,586.99/340.31
  6. Step 6: Final answer
    x = 266.19

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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.