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Finding the Fourth Proportional to 530.97, 732.73 and 298.09

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Solution

The fourth proportional to 530.97, 732.73 and 298.09 is: 411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.97 : 732.73 = 298.09 : x
  2. Step 2: Convert to fraction form
    530.97/732.73 = 298.09/x
  3. Step 3: Cross multiply
    530.97x = 732.73 × 298.09
  4. Step 4: Simplify right side
    530.97x = 218,420.22
  5. Step 5: Solve for x
    x = 218,420.22/530.97
  6. Step 6: Final answer
    x = 411.36

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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.