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Finding the Fourth Proportional to 272.83, 407.43 and 258.79

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Solution

The fourth proportional to 272.83, 407.43 and 258.79 is: 386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.83 : 407.43 = 258.79 : x
  2. Step 2: Convert to fraction form
    272.83/407.43 = 258.79/x
  3. Step 3: Cross multiply
    272.83x = 407.43 × 258.79
  4. Step 4: Simplify right side
    272.83x = 105,438.81
  5. Step 5: Solve for x
    x = 105,438.81/272.83
  6. Step 6: Final answer
    x = 386.46

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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.