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Finding the Fourth Proportional to 550.77, 760.05 and 302.10

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Solution

The fourth proportional to 550.77, 760.05 and 302.10 is: 416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.77 : 760.05 = 302.10 : x
  2. Step 2: Convert to fraction form
    550.77/760.05 = 302.10/x
  3. Step 3: Cross multiply
    550.77x = 760.05 × 302.10
  4. Step 4: Simplify right side
    550.77x = 229,611.11
  5. Step 5: Solve for x
    x = 229,611.11/550.77
  6. Step 6: Final answer
    x = 416.89

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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.