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Finding the Fourth Proportional to 346.24, 516.47 and 345.16

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Solution

The fourth proportional to 346.24, 516.47 and 345.16 is: 514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.24 : 516.47 = 345.16 : x
  2. Step 2: Convert to fraction form
    346.24/516.47 = 345.16/x
  3. Step 3: Cross multiply
    346.24x = 516.47 × 345.16
  4. Step 4: Simplify right side
    346.24x = 178,264.79
  5. Step 5: Solve for x
    x = 178,264.79/346.24
  6. Step 6: Final answer
    x = 514.86

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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.