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Finding the Fourth Proportional to 342.51, 471.57 and 298.83

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Solution

The fourth proportional to 342.51, 471.57 and 298.83 is: 411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.51 : 471.57 = 298.83 : x
  2. Step 2: Convert to fraction form
    342.51/471.57 = 298.83/x
  3. Step 3: Cross multiply
    342.51x = 471.57 × 298.83
  4. Step 4: Simplify right side
    342.51x = 140,915.41
  5. Step 5: Solve for x
    x = 140,915.41/342.51
  6. Step 6: Final answer
    x = 411.43

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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.