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Finding the Fourth Proportional to 346.52, 477.92 and 215.28

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Solution

The fourth proportional to 346.52, 477.92 and 215.28 is: 296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.52 : 477.92 = 215.28 : x
  2. Step 2: Convert to fraction form
    346.52/477.92 = 215.28/x
  3. Step 3: Cross multiply
    346.52x = 477.92 × 215.28
  4. Step 4: Simplify right side
    346.52x = 102,886.62
  5. Step 5: Solve for x
    x = 102,886.62/346.52
  6. Step 6: Final answer
    x = 296.91

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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.