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Finding the Fourth Proportional to 346.92, 479.16 and 281.76

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Solution

The fourth proportional to 346.92, 479.16 and 281.76 is: 389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.92 : 479.16 = 281.76 : x
  2. Step 2: Convert to fraction form
    346.92/479.16 = 281.76/x
  3. Step 3: Cross multiply
    346.92x = 479.16 × 281.76
  4. Step 4: Simplify right side
    346.92x = 135,008.12
  5. Step 5: Solve for x
    x = 135,008.12/346.92
  6. Step 6: Final answer
    x = 389.16

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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.