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Finding the Fourth Proportional to 474.11, 654.25 and 277.60

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Solution

The fourth proportional to 474.11, 654.25 and 277.60 is: 383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.11 : 654.25 = 277.60 : x
  2. Step 2: Convert to fraction form
    474.11/654.25 = 277.60/x
  3. Step 3: Cross multiply
    474.11x = 654.25 × 277.60
  4. Step 4: Simplify right side
    474.11x = 181,619.80
  5. Step 5: Solve for x
    x = 181,619.80/474.11
  6. Step 6: Final answer
    x = 383.08

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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.