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Finding the Fourth Proportional to 476.48, 657.64 and 269.52

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Solution

The fourth proportional to 476.48, 657.64 and 269.52 is: 371.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.48 : 657.64 = 269.52 : x
  2. Step 2: Convert to fraction form
    476.48/657.64 = 269.52/x
  3. Step 3: Cross multiply
    476.48x = 657.64 × 269.52
  4. Step 4: Simplify right side
    476.48x = 177,247.13
  5. Step 5: Solve for x
    x = 177,247.13/476.48
  6. Step 6: Final answer
    x = 371.99

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