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Finding the Fourth Proportional to 237.92, 328.23 and 158.13

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Solution

The fourth proportional to 237.92, 328.23 and 158.13 is: 218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.92 : 328.23 = 158.13 : x
  2. Step 2: Convert to fraction form
    237.92/328.23 = 158.13/x
  3. Step 3: Cross multiply
    237.92x = 328.23 × 158.13
  4. Step 4: Simplify right side
    237.92x = 51,903.01
  5. Step 5: Solve for x
    x = 51,903.01/237.92
  6. Step 6: Final answer
    x = 218.16

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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.