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Finding the Fourth Proportional to 431.63, 648.65 and 258.32

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Solution

The fourth proportional to 431.63, 648.65 and 258.32 is: 388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.63 : 648.65 = 258.32 : x
  2. Step 2: Convert to fraction form
    431.63/648.65 = 258.32/x
  3. Step 3: Cross multiply
    431.63x = 648.65 × 258.32
  4. Step 4: Simplify right side
    431.63x = 167,559.27
  5. Step 5: Solve for x
    x = 167,559.27/431.63
  6. Step 6: Final answer
    x = 388.20

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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.