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Finding the Fourth Proportional to 320.09, 480.06 and 88.92

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Solution

The fourth proportional to 320.09, 480.06 and 88.92 is: 133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.09 : 480.06 = 88.92 : x
  2. Step 2: Convert to fraction form
    320.09/480.06 = 88.92/x
  3. Step 3: Cross multiply
    320.09x = 480.06 × 88.92
  4. Step 4: Simplify right side
    320.09x = 42,688.29
  5. Step 5: Solve for x
    x = 42,688.29/320.09
  6. Step 6: Final answer
    x = 133.36

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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.