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Finding the Fourth Proportional to 553.13, 763.31 and 301.07

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Solution

The fourth proportional to 553.13, 763.31 and 301.07 is: 415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.13 : 763.31 = 301.07 : x
  2. Step 2: Convert to fraction form
    553.13/763.31 = 301.07/x
  3. Step 3: Cross multiply
    553.13x = 763.31 × 301.07
  4. Step 4: Simplify right side
    553.13x = 229,807.08
  5. Step 5: Solve for x
    x = 229,807.08/553.13
  6. Step 6: Final answer
    x = 415.46

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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.