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Finding the Fourth Proportional to 397.08, 592.14 and 393.42

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Solution

The fourth proportional to 397.08, 592.14 and 393.42 is: 586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.08 : 592.14 = 393.42 : x
  2. Step 2: Convert to fraction form
    397.08/592.14 = 393.42/x
  3. Step 3: Cross multiply
    397.08x = 592.14 × 393.42
  4. Step 4: Simplify right side
    397.08x = 232,959.72
  5. Step 5: Solve for x
    x = 232,959.72/397.08
  6. Step 6: Final answer
    x = 586.68

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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.