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Finding the Fourth Proportional to 381.51, 570.14 and 347.49

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Solution

The fourth proportional to 381.51, 570.14 and 347.49 is: 519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.51 : 570.14 = 347.49 : x
  2. Step 2: Convert to fraction form
    381.51/570.14 = 347.49/x
  3. Step 3: Cross multiply
    381.51x = 570.14 × 347.49
  4. Step 4: Simplify right side
    381.51x = 198,117.51
  5. Step 5: Solve for x
    x = 198,117.51/381.51
  6. Step 6: Final answer
    x = 519.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.