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Finding the Fourth Proportional to 435.36, 601.44 and 342.72

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Solution

The fourth proportional to 435.36, 601.44 and 342.72 is: 473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.36 : 601.44 = 342.72 : x
  2. Step 2: Convert to fraction form
    435.36/601.44 = 342.72/x
  3. Step 3: Cross multiply
    435.36x = 601.44 × 342.72
  4. Step 4: Simplify right side
    435.36x = 206,125.52
  5. Step 5: Solve for x
    x = 206,125.52/435.36
  6. Step 6: Final answer
    x = 473.46

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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.