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Finding the Fourth Proportional to 451.13, 622.34 and 264.50

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Solution

The fourth proportional to 451.13, 622.34 and 264.50 is: 364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.13 : 622.34 = 264.50 : x
  2. Step 2: Convert to fraction form
    451.13/622.34 = 264.50/x
  3. Step 3: Cross multiply
    451.13x = 622.34 × 264.50
  4. Step 4: Simplify right side
    451.13x = 164,607.61
  5. Step 5: Solve for x
    x = 164,607.61/451.13
  6. Step 6: Final answer
    x = 364.88

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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.