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Finding the Fourth Proportional to 272.34, 405.90 and 260.28

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Solution

The fourth proportional to 272.34, 405.90 and 260.28 is: 387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.34 : 405.90 = 260.28 : x
  2. Step 2: Convert to fraction form
    272.34/405.90 = 260.28/x
  3. Step 3: Cross multiply
    272.34x = 405.90 × 260.28
  4. Step 4: Simplify right side
    272.34x = 105,647.65
  5. Step 5: Solve for x
    x = 105,647.65/272.34
  6. Step 6: Final answer
    x = 387.93

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Why These Related Problems?

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