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Finding the Fourth Proportional to 346.32, 516.53 and 315.35

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Solution

The fourth proportional to 346.32, 516.53 and 315.35 is: 470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.32 : 516.53 = 315.35 : x
  2. Step 2: Convert to fraction form
    346.32/516.53 = 315.35/x
  3. Step 3: Cross multiply
    346.32x = 516.53 × 315.35
  4. Step 4: Simplify right side
    346.32x = 162,883.58
  5. Step 5: Solve for x
    x = 162,883.58/346.32
  6. Step 6: Final answer
    x = 470.33

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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.