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Finding the Fourth Proportional to 451.51, 622.95 and 265.00

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Solution

The fourth proportional to 451.51, 622.95 and 265.00 is: 365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.51 : 622.95 = 265.00 : x
  2. Step 2: Convert to fraction form
    451.51/622.95 = 265.00/x
  3. Step 3: Cross multiply
    451.51x = 622.95 × 265.00
  4. Step 4: Simplify right side
    451.51x = 165,083.29
  5. Step 5: Solve for x
    x = 165,083.29/451.51
  6. Step 6: Final answer
    x = 365.63

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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.