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Finding the Fourth Proportional to 289.48, 431.99 and 258.72

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Solution

The fourth proportional to 289.48, 431.99 and 258.72 is: 386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.48 : 431.99 = 258.72 : x
  2. Step 2: Convert to fraction form
    289.48/431.99 = 258.72/x
  3. Step 3: Cross multiply
    289.48x = 431.99 × 258.72
  4. Step 4: Simplify right side
    289.48x = 111,764.45
  5. Step 5: Solve for x
    x = 111,764.45/289.48
  6. Step 6: Final answer
    x = 386.09

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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.