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Finding the Fourth Proportional to 530.03, 730.97 and 343.33

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Solution

The fourth proportional to 530.03, 730.97 and 343.33 is: 473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.03 : 730.97 = 343.33 : x
  2. Step 2: Convert to fraction form
    530.03/730.97 = 343.33/x
  3. Step 3: Cross multiply
    530.03x = 730.97 × 343.33
  4. Step 4: Simplify right side
    530.03x = 250,963.93
  5. Step 5: Solve for x
    x = 250,963.93/530.03
  6. Step 6: Final answer
    x = 473.49

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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.