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Finding the Fourth Proportional to 473.20, 709.38 and 180.53

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Solution

The fourth proportional to 473.20, 709.38 and 180.53 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.20 : 709.38 = 180.53 : x
  2. Step 2: Convert to fraction form
    473.20/709.38 = 180.53/x
  3. Step 3: Cross multiply
    473.20x = 709.38 × 180.53
  4. Step 4: Simplify right side
    473.20x = 128,064.37
  5. Step 5: Solve for x
    x = 128,064.37/473.20
  6. Step 6: Final answer
    x = 270.64

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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.