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Finding the Fourth Proportional to 532.12, 798.18 and 147.37

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Solution

The fourth proportional to 532.12, 798.18 and 147.37 is: 221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.12 : 798.18 = 147.37 : x
  2. Step 2: Convert to fraction form
    532.12/798.18 = 147.37/x
  3. Step 3: Cross multiply
    532.12x = 798.18 × 147.37
  4. Step 4: Simplify right side
    532.12x = 117,623.06
  5. Step 5: Solve for x
    x = 117,623.06/532.12
  6. Step 6: Final answer
    x = 221.05

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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.