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Finding the Fourth Proportional to 397.18, 592.85 and 346.18

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Solution

The fourth proportional to 397.18, 592.85 and 346.18 is: 516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.18 : 592.85 = 346.18 : x
  2. Step 2: Convert to fraction form
    397.18/592.85 = 346.18/x
  3. Step 3: Cross multiply
    397.18x = 592.85 × 346.18
  4. Step 4: Simplify right side
    397.18x = 205,232.81
  5. Step 5: Solve for x
    x = 205,232.81/397.18
  6. Step 6: Final answer
    x = 516.72

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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.