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Finding the Fourth Proportional to 473.00, 709.30 and 143.83

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Solution

The fourth proportional to 473.00, 709.30 and 143.83 is: 215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.00 : 709.30 = 143.83 : x
  2. Step 2: Convert to fraction form
    473.00/709.30 = 143.83/x
  3. Step 3: Cross multiply
    473.00x = 709.30 × 143.83
  4. Step 4: Simplify right side
    473.00x = 102,016.49
  5. Step 5: Solve for x
    x = 102,016.49/473.00
  6. Step 6: Final answer
    x = 215.68

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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.