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Finding the Fourth Proportional to 474.13, 710.58 and 199.86

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Solution

The fourth proportional to 474.13, 710.58 and 199.86 is: 299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.13 : 710.58 = 199.86 : x
  2. Step 2: Convert to fraction form
    474.13/710.58 = 199.86/x
  3. Step 3: Cross multiply
    474.13x = 710.58 × 199.86
  4. Step 4: Simplify right side
    474.13x = 142,016.52
  5. Step 5: Solve for x
    x = 142,016.52/474.13
  6. Step 6: Final answer
    x = 299.53

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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.