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Finding the Fourth Proportional to 332.31, 498.78 and 188.13

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Solution

The fourth proportional to 332.31, 498.78 and 188.13 is: 282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.31 : 498.78 = 188.13 : x
  2. Step 2: Convert to fraction form
    332.31/498.78 = 188.13/x
  3. Step 3: Cross multiply
    332.31x = 498.78 × 188.13
  4. Step 4: Simplify right side
    332.31x = 93,835.48
  5. Step 5: Solve for x
    x = 93,835.48/332.31
  6. Step 6: Final answer
    x = 282.37

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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.