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Finding the Fourth Proportional to 474.20, 711.47 and 214.18

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Solution

The fourth proportional to 474.20, 711.47 and 214.18 is: 321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.20 : 711.47 = 214.18 : x
  2. Step 2: Convert to fraction form
    474.20/711.47 = 214.18/x
  3. Step 3: Cross multiply
    474.20x = 711.47 × 214.18
  4. Step 4: Simplify right side
    474.20x = 152,381.40
  5. Step 5: Solve for x
    x = 152,381.40/474.20
  6. Step 6: Final answer
    x = 321.35

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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.