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Finding the Fourth Proportional to 474.04, 654.22 and 277.64

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Solution

The fourth proportional to 474.04, 654.22 and 277.64 is: 383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.04 : 654.22 = 277.64 : x
  2. Step 2: Convert to fraction form
    474.04/654.22 = 277.64/x
  3. Step 3: Cross multiply
    474.04x = 654.22 × 277.64
  4. Step 4: Simplify right side
    474.04x = 181,637.64
  5. Step 5: Solve for x
    x = 181,637.64/474.04
  6. Step 6: Final answer
    x = 383.17

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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.