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Finding the Fourth Proportional to 390.71, 586.04 and 174.29

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Solution

The fourth proportional to 390.71, 586.04 and 174.29 is: 261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.71 : 586.04 = 174.29 : x
  2. Step 2: Convert to fraction form
    390.71/586.04 = 174.29/x
  3. Step 3: Cross multiply
    390.71x = 586.04 × 174.29
  4. Step 4: Simplify right side
    390.71x = 102,137.11
  5. Step 5: Solve for x
    x = 102,137.11/390.71
  6. Step 6: Final answer
    x = 261.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.