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Finding the Fourth Proportional to 319.48, 479.32 and 146.14

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Solution

The fourth proportional to 319.48, 479.32 and 146.14 is: 219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.48 : 479.32 = 146.14 : x
  2. Step 2: Convert to fraction form
    319.48/479.32 = 146.14/x
  3. Step 3: Cross multiply
    319.48x = 479.32 × 146.14
  4. Step 4: Simplify right side
    319.48x = 70,046.26
  5. Step 5: Solve for x
    x = 70,046.26/319.48
  6. Step 6: Final answer
    x = 219.25

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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.