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Finding the Fourth Proportional to 480.10, 661.82 and 305.14

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Solution

The fourth proportional to 480.10, 661.82 and 305.14 is: 420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.10 : 661.82 = 305.14 : x
  2. Step 2: Convert to fraction form
    480.10/661.82 = 305.14/x
  3. Step 3: Cross multiply
    480.10x = 661.82 × 305.14
  4. Step 4: Simplify right side
    480.10x = 201,947.75
  5. Step 5: Solve for x
    x = 201,947.75/480.10
  6. Step 6: Final answer
    x = 420.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.