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Finding the Fourth Proportional to 342.45, 471.73 and 248.95

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Solution

The fourth proportional to 342.45, 471.73 and 248.95 is: 342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.45 : 471.73 = 248.95 : x
  2. Step 2: Convert to fraction form
    342.45/471.73 = 248.95/x
  3. Step 3: Cross multiply
    342.45x = 471.73 × 248.95
  4. Step 4: Simplify right side
    342.45x = 117,437.18
  5. Step 5: Solve for x
    x = 117,437.18/342.45
  6. Step 6: Final answer
    x = 342.93

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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.