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Finding the Fourth Proportional to 556.18, 767.38 and 320.14

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Solution

The fourth proportional to 556.18, 767.38 and 320.14 is: 441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.18 : 767.38 = 320.14 : x
  2. Step 2: Convert to fraction form
    556.18/767.38 = 320.14/x
  3. Step 3: Cross multiply
    556.18x = 767.38 × 320.14
  4. Step 4: Simplify right side
    556.18x = 245,669.03
  5. Step 5: Solve for x
    x = 245,669.03/556.18
  6. Step 6: Final answer
    x = 441.71

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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.