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Finding the Fourth Proportional to 346.70, 477.93 and 263.66

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Solution

The fourth proportional to 346.70, 477.93 and 263.66 is: 363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.70 : 477.93 = 263.66 : x
  2. Step 2: Convert to fraction form
    346.70/477.93 = 263.66/x
  3. Step 3: Cross multiply
    346.70x = 477.93 × 263.66
  4. Step 4: Simplify right side
    346.70x = 126,012.31
  5. Step 5: Solve for x
    x = 126,012.31/346.70
  6. Step 6: Final answer
    x = 363.47

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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.