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Finding the Fourth Proportional to 342.92, 473.64 and 277.76

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Solution

The fourth proportional to 342.92, 473.64 and 277.76 is: 383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.92 : 473.64 = 277.76 : x
  2. Step 2: Convert to fraction form
    342.92/473.64 = 277.76/x
  3. Step 3: Cross multiply
    342.92x = 473.64 × 277.76
  4. Step 4: Simplify right side
    342.92x = 131,558.25
  5. Step 5: Solve for x
    x = 131,558.25/342.92
  6. Step 6: Final answer
    x = 383.64

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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.