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Finding the Fourth Proportional to 258.72, 385.58 and 245.76

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Solution

The fourth proportional to 258.72, 385.58 and 245.76 is: 366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.72 : 385.58 = 245.76 : x
  2. Step 2: Convert to fraction form
    258.72/385.58 = 245.76/x
  3. Step 3: Cross multiply
    258.72x = 385.58 × 245.76
  4. Step 4: Simplify right side
    258.72x = 94,760.14
  5. Step 5: Solve for x
    x = 94,760.14/258.72
  6. Step 6: Final answer
    x = 366.27

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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.