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Finding the Fourth Proportional to 346.65, 478.20 and 213.91

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Solution

The fourth proportional to 346.65, 478.20 and 213.91 is: 295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.65 : 478.20 = 213.91 : x
  2. Step 2: Convert to fraction form
    346.65/478.20 = 213.91/x
  3. Step 3: Cross multiply
    346.65x = 478.20 × 213.91
  4. Step 4: Simplify right side
    346.65x = 102,291.76
  5. Step 5: Solve for x
    x = 102,291.76/346.65
  6. Step 6: Final answer
    x = 295.09

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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.