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Finding the Fourth Proportional to 342.52, 511.60 and 293.92

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Solution

The fourth proportional to 342.52, 511.60 and 293.92 is: 439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.52 : 511.60 = 293.92 : x
  2. Step 2: Convert to fraction form
    342.52/511.60 = 293.92/x
  3. Step 3: Cross multiply
    342.52x = 511.60 × 293.92
  4. Step 4: Simplify right side
    342.52x = 150,369.47
  5. Step 5: Solve for x
    x = 150,369.47/342.52
  6. Step 6: Final answer
    x = 439.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.