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Finding the Fourth Proportional to 277.68, 414.24 and 258.04

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Solution

The fourth proportional to 277.68, 414.24 and 258.04 is: 384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.68 : 414.24 = 258.04 : x
  2. Step 2: Convert to fraction form
    277.68/414.24 = 258.04/x
  3. Step 3: Cross multiply
    277.68x = 414.24 × 258.04
  4. Step 4: Simplify right side
    277.68x = 106,890.49
  5. Step 5: Solve for x
    x = 106,890.49/277.68
  6. Step 6: Final answer
    x = 384.94

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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.