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Finding the Fourth Proportional to 474.02, 710.92 and 213.86

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Solution

The fourth proportional to 474.02, 710.92 and 213.86 is: 320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.02 : 710.92 = 213.86 : x
  2. Step 2: Convert to fraction form
    474.02/710.92 = 213.86/x
  3. Step 3: Cross multiply
    474.02x = 710.92 × 213.86
  4. Step 4: Simplify right side
    474.02x = 152,039.40
  5. Step 5: Solve for x
    x = 152,039.40/474.02
  6. Step 6: Final answer
    x = 320.74

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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.