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Finding the Fourth Proportional to 358.16, 493.86 and 275.46

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Solution

The fourth proportional to 358.16, 493.86 and 275.46 is: 379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.16 : 493.86 = 275.46 : x
  2. Step 2: Convert to fraction form
    358.16/493.86 = 275.46/x
  3. Step 3: Cross multiply
    358.16x = 493.86 × 275.46
  4. Step 4: Simplify right side
    358.16x = 136,036.21
  5. Step 5: Solve for x
    x = 136,036.21/358.16
  6. Step 6: Final answer
    x = 379.82

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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.