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Finding the Fourth Proportional to 474.29, 654.41 and 277.71

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Solution

The fourth proportional to 474.29, 654.41 and 277.71 is: 383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.29 : 654.41 = 277.71 : x
  2. Step 2: Convert to fraction form
    474.29/654.41 = 277.71/x
  3. Step 3: Cross multiply
    474.29x = 654.41 × 277.71
  4. Step 4: Simplify right side
    474.29x = 181,732.93
  5. Step 5: Solve for x
    x = 181,732.93/474.29
  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.