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Finding the Fourth Proportional to 476.62, 657.66 and 280.12

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Solution

The fourth proportional to 476.62, 657.66 and 280.12 is: 386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.62 : 657.66 = 280.12 : x
  2. Step 2: Convert to fraction form
    476.62/657.66 = 280.12/x
  3. Step 3: Cross multiply
    476.62x = 657.66 × 280.12
  4. Step 4: Simplify right side
    476.62x = 184,223.72
  5. Step 5: Solve for x
    x = 184,223.72/476.62
  6. Step 6: Final answer
    x = 386.52

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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.