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Finding the Fourth Proportional to 319.55, 479.36 and 165.58

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Solution

The fourth proportional to 319.55, 479.36 and 165.58 is: 248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.55 : 479.36 = 165.58 : x
  2. Step 2: Convert to fraction form
    319.55/479.36 = 165.58/x
  3. Step 3: Cross multiply
    319.55x = 479.36 × 165.58
  4. Step 4: Simplify right side
    319.55x = 79,372.50
  5. Step 5: Solve for x
    x = 79,372.50/319.55
  6. Step 6: Final answer
    x = 248.39

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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.