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Finding the Fourth Proportional to 288.52, 434.32 and 258.75

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Solution

The fourth proportional to 288.52, 434.32 and 258.75 is: 389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.52 : 434.32 = 258.75 : x
  2. Step 2: Convert to fraction form
    288.52/434.32 = 258.75/x
  3. Step 3: Cross multiply
    288.52x = 434.32 × 258.75
  4. Step 4: Simplify right side
    288.52x = 112,379.65
  5. Step 5: Solve for x
    x = 112,379.65/288.52
  6. Step 6: Final answer
    x = 389.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.