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Finding the Fourth Proportional to 476.64, 657.74 and 280.16

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Solution

The fourth proportional to 476.64, 657.74 and 280.16 is: 386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.64 : 657.74 = 280.16 : x
  2. Step 2: Convert to fraction form
    476.64/657.74 = 280.16/x
  3. Step 3: Cross multiply
    476.64x = 657.74 × 280.16
  4. Step 4: Simplify right side
    476.64x = 184,272.44
  5. Step 5: Solve for x
    x = 184,272.44/476.64
  6. Step 6: Final answer
    x = 386.61

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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.