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Finding the Fourth Proportional to 346.40, 516.91 and 315.74

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Solution

The fourth proportional to 346.40, 516.91 and 315.74 is: 471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.40 : 516.91 = 315.74 : x
  2. Step 2: Convert to fraction form
    346.40/516.91 = 315.74/x
  3. Step 3: Cross multiply
    346.40x = 516.91 × 315.74
  4. Step 4: Simplify right side
    346.40x = 163,209.16
  5. Step 5: Solve for x
    x = 163,209.16/346.40
  6. Step 6: Final answer
    x = 471.16

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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.