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Finding the Fourth Proportional to 556.10, 766.86 and 359.26

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Solution

The fourth proportional to 556.10, 766.86 and 359.26 is: 495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.10 : 766.86 = 359.26 : x
  2. Step 2: Convert to fraction form
    556.10/766.86 = 359.26/x
  3. Step 3: Cross multiply
    556.10x = 766.86 × 359.26
  4. Step 4: Simplify right side
    556.10x = 275,502.12
  5. Step 5: Solve for x
    x = 275,502.12/556.10
  6. Step 6: Final answer
    x = 495.42

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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.