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Finding the Fourth Proportional to 320.19, 480.21 and 89.11

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Solution

The fourth proportional to 320.19, 480.21 and 89.11 is: 133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.19 : 480.21 = 89.11 : x
  2. Step 2: Convert to fraction form
    320.19/480.21 = 89.11/x
  3. Step 3: Cross multiply
    320.19x = 480.21 × 89.11
  4. Step 4: Simplify right side
    320.19x = 42,791.51
  5. Step 5: Solve for x
    x = 42,791.51/320.19
  6. Step 6: Final answer
    x = 133.64

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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.