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Finding the Fourth Proportional to 532.35, 798.89 and 203.31

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Solution

The fourth proportional to 532.35, 798.89 and 203.31 is: 305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.35 : 798.89 = 203.31 : x
  2. Step 2: Convert to fraction form
    532.35/798.89 = 203.31/x
  3. Step 3: Cross multiply
    532.35x = 798.89 × 203.31
  4. Step 4: Simplify right side
    532.35x = 162,421.31
  5. Step 5: Solve for x
    x = 162,421.31/532.35
  6. Step 6: Final answer
    x = 305.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.