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Finding the Fourth Proportional to 342.96, 511.16 and 342.44

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Solution

The fourth proportional to 342.96, 511.16 and 342.44 is: 510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.96 : 511.16 = 342.44 : x
  2. Step 2: Convert to fraction form
    342.96/511.16 = 342.44/x
  3. Step 3: Cross multiply
    342.96x = 511.16 × 342.44
  4. Step 4: Simplify right side
    342.96x = 175,041.63
  5. Step 5: Solve for x
    x = 175,041.63/342.96
  6. Step 6: Final answer
    x = 510.38

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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.