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Finding the Fourth Proportional to 387.33, 534.13 and 343.09

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Solution

The fourth proportional to 387.33, 534.13 and 343.09 is: 473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.33 : 534.13 = 343.09 : x
  2. Step 2: Convert to fraction form
    387.33/534.13 = 343.09/x
  3. Step 3: Cross multiply
    387.33x = 534.13 × 343.09
  4. Step 4: Simplify right side
    387.33x = 183,254.66
  5. Step 5: Solve for x
    x = 183,254.66/387.33
  6. Step 6: Final answer
    x = 473.12

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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.