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Finding the Fourth Proportional to 319.63, 479.30 and 100.20

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Solution

The fourth proportional to 319.63, 479.30 and 100.20 is: 150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.63 : 479.30 = 100.20 : x
  2. Step 2: Convert to fraction form
    319.63/479.30 = 100.20/x
  3. Step 3: Cross multiply
    319.63x = 479.30 × 100.20
  4. Step 4: Simplify right side
    319.63x = 48,026.11
  5. Step 5: Solve for x
    x = 48,026.11/319.63
  6. Step 6: Final answer
    x = 150.26

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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.