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Finding the Fourth Proportional to 371.92, 509.52 and 358.07

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Solution

The fourth proportional to 371.92, 509.52 and 358.07 is: 490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.92 : 509.52 = 358.07 : x
  2. Step 2: Convert to fraction form
    371.92/509.52 = 358.07/x
  3. Step 3: Cross multiply
    371.92x = 509.52 × 358.07
  4. Step 4: Simplify right side
    371.92x = 182,445.10
  5. Step 5: Solve for x
    x = 182,445.10/371.92
  6. Step 6: Final answer
    x = 490.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.