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Finding the Fourth Proportional to 346.48, 516.59 and 342.88

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Solution

The fourth proportional to 346.48, 516.59 and 342.88 is: 511.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.48 : 516.59 = 342.88 : x
  2. Step 2: Convert to fraction form
    346.48/516.59 = 342.88/x
  3. Step 3: Cross multiply
    346.48x = 516.59 × 342.88
  4. Step 4: Simplify right side
    346.48x = 177,128.38
  5. Step 5: Solve for x
    x = 177,128.38/346.48
  6. Step 6: Final answer
    x = 511.22

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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.