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Finding the Fourth Proportional to 474.12, 654.22 and 277.60

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Solution

The fourth proportional to 474.12, 654.22 and 277.60 is: 383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.12 : 654.22 = 277.60 : x
  2. Step 2: Convert to fraction form
    474.12/654.22 = 277.60/x
  3. Step 3: Cross multiply
    474.12x = 654.22 × 277.60
  4. Step 4: Simplify right side
    474.12x = 181,611.47
  5. Step 5: Solve for x
    x = 181,611.47/474.12
  6. Step 6: Final answer
    x = 383.05

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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.