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Finding the Fourth Proportional to 319.36, 478.61 and 145.81

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Solution

The fourth proportional to 319.36, 478.61 and 145.81 is: 218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.36 : 478.61 = 145.81 : x
  2. Step 2: Convert to fraction form
    319.36/478.61 = 145.81/x
  3. Step 3: Cross multiply
    319.36x = 478.61 × 145.81
  4. Step 4: Simplify right side
    319.36x = 69,786.13
  5. Step 5: Solve for x
    x = 69,786.13/319.36
  6. Step 6: Final answer
    x = 218.52

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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.