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Finding the Fourth Proportional to 232.32, 320.48 and 145.02

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Solution

The fourth proportional to 232.32, 320.48 and 145.02 is: 200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.32 : 320.48 = 145.02 : x
  2. Step 2: Convert to fraction form
    232.32/320.48 = 145.02/x
  3. Step 3: Cross multiply
    232.32x = 320.48 × 145.02
  4. Step 4: Simplify right side
    232.32x = 46,476.01
  5. Step 5: Solve for x
    x = 46,476.01/232.32
  6. Step 6: Final answer
    x = 200.05

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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.