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Finding the Fourth Proportional to 476.11, 657.08 and 289.58

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Solution

The fourth proportional to 476.11, 657.08 and 289.58 is: 399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.11 : 657.08 = 289.58 : x
  2. Step 2: Convert to fraction form
    476.11/657.08 = 289.58/x
  3. Step 3: Cross multiply
    476.11x = 657.08 × 289.58
  4. Step 4: Simplify right side
    476.11x = 190,273.58
  5. Step 5: Solve for x
    x = 190,273.58/476.11
  6. Step 6: Final answer
    x = 399.64

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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.