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Finding the Fourth Proportional to 319.00, 478.26 and 145.58

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Solution

The fourth proportional to 319.00, 478.26 and 145.58 is: 218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.00 : 478.26 = 145.58 : x
  2. Step 2: Convert to fraction form
    319.00/478.26 = 145.58/x
  3. Step 3: Cross multiply
    319.00x = 478.26 × 145.58
  4. Step 4: Simplify right side
    319.00x = 69,625.80
  5. Step 5: Solve for x
    x = 69,625.80/319.00
  6. Step 6: Final answer
    x = 218.27

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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.