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Finding the Fourth Proportional to 270.40, 402.72 and 260.32

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Solution

The fourth proportional to 270.40, 402.72 and 260.32 is: 387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.40 : 402.72 = 260.32 : x
  2. Step 2: Convert to fraction form
    270.40/402.72 = 260.32/x
  3. Step 3: Cross multiply
    270.40x = 402.72 × 260.32
  4. Step 4: Simplify right side
    270.40x = 104,836.07
  5. Step 5: Solve for x
    x = 104,836.07/270.40
  6. Step 6: Final answer
    x = 387.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.