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Finding the Fourth Proportional to 272.28, 405.67 and 258.51

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Solution

The fourth proportional to 272.28, 405.67 and 258.51 is: 385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.28 : 405.67 = 258.51 : x
  2. Step 2: Convert to fraction form
    272.28/405.67 = 258.51/x
  3. Step 3: Cross multiply
    272.28x = 405.67 × 258.51
  4. Step 4: Simplify right side
    272.28x = 104,869.11
  5. Step 5: Solve for x
    x = 104,869.11/272.28
  6. Step 6: Final answer
    x = 385.15

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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.