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Finding the Fourth Proportional to 521.92, 783.04 and 180.16

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Solution

The fourth proportional to 521.92, 783.04 and 180.16 is: 270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.92 : 783.04 = 180.16 : x
  2. Step 2: Convert to fraction form
    521.92/783.04 = 180.16/x
  3. Step 3: Cross multiply
    521.92x = 783.04 × 180.16
  4. Step 4: Simplify right side
    521.92x = 141,072.49
  5. Step 5: Solve for x
    x = 141,072.49/521.92
  6. Step 6: Final answer
    x = 270.30

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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.