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Finding the Fourth Proportional to 453.24, 625.46 and 256.77

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Solution

The fourth proportional to 453.24, 625.46 and 256.77 is: 354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.24 : 625.46 = 256.77 : x
  2. Step 2: Convert to fraction form
    453.24/625.46 = 256.77/x
  3. Step 3: Cross multiply
    453.24x = 625.46 × 256.77
  4. Step 4: Simplify right side
    453.24x = 160,598.08
  5. Step 5: Solve for x
    x = 160,598.08/453.24
  6. Step 6: Final answer
    x = 354.33

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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.