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Finding the Fourth Proportional to 342.90, 511.38 and 312.12

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Solution

The fourth proportional to 342.90, 511.38 and 312.12 is: 465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.90 : 511.38 = 312.12 : x
  2. Step 2: Convert to fraction form
    342.90/511.38 = 312.12/x
  3. Step 3: Cross multiply
    342.90x = 511.38 × 312.12
  4. Step 4: Simplify right side
    342.90x = 159,611.93
  5. Step 5: Solve for x
    x = 159,611.93/342.90
  6. Step 6: Final answer
    x = 465.48

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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.