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Finding the Fourth Proportional to 358.51, 494.76 and 280.75

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Solution

The fourth proportional to 358.51, 494.76 and 280.75 is: 387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.51 : 494.76 = 280.75 : x
  2. Step 2: Convert to fraction form
    358.51/494.76 = 280.75/x
  3. Step 3: Cross multiply
    358.51x = 494.76 × 280.75
  4. Step 4: Simplify right side
    358.51x = 138,903.87
  5. Step 5: Solve for x
    x = 138,903.87/358.51
  6. Step 6: Final answer
    x = 387.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.