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Finding the Fourth Proportional to 550.85, 760.17 and 302.17

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Solution

The fourth proportional to 550.85, 760.17 and 302.17 is: 416.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.85 : 760.17 = 302.17 : x
  2. Step 2: Convert to fraction form
    550.85/760.17 = 302.17/x
  3. Step 3: Cross multiply
    550.85x = 760.17 × 302.17
  4. Step 4: Simplify right side
    550.85x = 229,700.57
  5. Step 5: Solve for x
    x = 229,700.57/550.85
  6. Step 6: Final answer
    x = 416.99

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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.