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Finding the Fourth Proportional to 453.42, 625.68 and 256.90

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Solution

The fourth proportional to 453.42, 625.68 and 256.90 is: 354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.42 : 625.68 = 256.90 : x
  2. Step 2: Convert to fraction form
    453.42/625.68 = 256.90/x
  3. Step 3: Cross multiply
    453.42x = 625.68 × 256.90
  4. Step 4: Simplify right side
    453.42x = 160,737.19
  5. Step 5: Solve for x
    x = 160,737.19/453.42
  6. Step 6: Final answer
    x = 354.50

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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.