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Finding the Fourth Proportional to 320.19, 479.85 and 137.53

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Solution

The fourth proportional to 320.19, 479.85 and 137.53 is: 206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.19 : 479.85 = 137.53 : x
  2. Step 2: Convert to fraction form
    320.19/479.85 = 137.53/x
  3. Step 3: Cross multiply
    320.19x = 479.85 × 137.53
  4. Step 4: Simplify right side
    320.19x = 65,993.77
  5. Step 5: Solve for x
    x = 65,993.77/320.19
  6. Step 6: Final answer
    x = 206.11

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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.