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Finding the Fourth Proportional to 474.24, 711.59 and 214.42

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Solution

The fourth proportional to 474.24, 711.59 and 214.42 is: 321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.24 : 711.59 = 214.42 : x
  2. Step 2: Convert to fraction form
    474.24/711.59 = 214.42/x
  3. Step 3: Cross multiply
    474.24x = 711.59 × 214.42
  4. Step 4: Simplify right side
    474.24x = 152,579.13
  5. Step 5: Solve for x
    x = 152,579.13/474.24
  6. Step 6: Final answer
    x = 321.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.