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Finding the Fourth Proportional to 319.03, 478.28 and 145.64

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Solution

The fourth proportional to 319.03, 478.28 and 145.64 is: 218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.03 : 478.28 = 145.64 : x
  2. Step 2: Convert to fraction form
    319.03/478.28 = 145.64/x
  3. Step 3: Cross multiply
    319.03x = 478.28 × 145.64
  4. Step 4: Simplify right side
    319.03x = 69,656.50
  5. Step 5: Solve for x
    x = 69,656.50/319.03
  6. Step 6: Final answer
    x = 218.34

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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.