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Finding the Fourth Proportional to 453.10, 625.30 and 256.64

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Solution

The fourth proportional to 453.10, 625.30 and 256.64 is: 354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.10 : 625.30 = 256.64 : x
  2. Step 2: Convert to fraction form
    453.10/625.30 = 256.64/x
  3. Step 3: Cross multiply
    453.10x = 625.30 × 256.64
  4. Step 4: Simplify right side
    453.10x = 160,476.99
  5. Step 5: Solve for x
    x = 160,476.99/453.10
  6. Step 6: Final answer
    x = 354.18

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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.