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Finding the Fourth Proportional to 319.64, 479.58 and 165.47

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Solution

The fourth proportional to 319.64, 479.58 and 165.47 is: 248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.64 : 479.58 = 165.47 : x
  2. Step 2: Convert to fraction form
    319.64/479.58 = 165.47/x
  3. Step 3: Cross multiply
    319.64x = 479.58 × 165.47
  4. Step 4: Simplify right side
    319.64x = 79,353.08
  5. Step 5: Solve for x
    x = 79,353.08/319.64
  6. Step 6: Final answer
    x = 248.26

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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.