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Finding the Fourth Proportional to 327.68, 493.58 and 277.46

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Solution

The fourth proportional to 327.68, 493.58 and 277.46 is: 417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.68 : 493.58 = 277.46 : x
  2. Step 2: Convert to fraction form
    327.68/493.58 = 277.46/x
  3. Step 3: Cross multiply
    327.68x = 493.58 × 277.46
  4. Step 4: Simplify right side
    327.68x = 136,948.71
  5. Step 5: Solve for x
    x = 136,948.71/327.68
  6. Step 6: Final answer
    x = 417.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.