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Finding the Fourth Proportional to 532.98, 735.54 and 300.09

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Solution

The fourth proportional to 532.98, 735.54 and 300.09 is: 414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.98 : 735.54 = 300.09 : x
  2. Step 2: Convert to fraction form
    532.98/735.54 = 300.09/x
  3. Step 3: Cross multiply
    532.98x = 735.54 × 300.09
  4. Step 4: Simplify right side
    532.98x = 220,728.20
  5. Step 5: Solve for x
    x = 220,728.20/532.98
  6. Step 6: Final answer
    x = 414.14

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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.