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Finding the Fourth Proportional to 456.00, 683.82 and 147.77

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Solution

The fourth proportional to 456.00, 683.82 and 147.77 is: 221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.00 : 683.82 = 147.77 : x
  2. Step 2: Convert to fraction form
    456.00/683.82 = 147.77/x
  3. Step 3: Cross multiply
    456.00x = 683.82 × 147.77
  4. Step 4: Simplify right side
    456.00x = 101,050.66
  5. Step 5: Solve for x
    x = 101,050.66/456.00
  6. Step 6: Final answer
    x = 221.60

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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.