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Finding the Fourth Proportional to 289.70, 399.14 and 258.62

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Solution

The fourth proportional to 289.70, 399.14 and 258.62 is: 356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.70 : 399.14 = 258.62 : x
  2. Step 2: Convert to fraction form
    289.70/399.14 = 258.62/x
  3. Step 3: Cross multiply
    289.70x = 399.14 × 258.62
  4. Step 4: Simplify right side
    289.70x = 103,225.59
  5. Step 5: Solve for x
    x = 103,225.59/289.70
  6. Step 6: Final answer
    x = 356.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.