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Finding the Fourth Proportional to 346.52, 477.01 and 263.60

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Solution

The fourth proportional to 346.52, 477.01 and 263.60 is: 362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.52 : 477.01 = 263.60 : x
  2. Step 2: Convert to fraction form
    346.52/477.01 = 263.60/x
  3. Step 3: Cross multiply
    346.52x = 477.01 × 263.60
  4. Step 4: Simplify right side
    346.52x = 125,736.79
  5. Step 5: Solve for x
    x = 125,736.79/346.52
  6. Step 6: Final answer
    x = 362.85

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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.