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Finding the Fourth Proportional to 218.63, 328.15 and 157.47

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Solution

The fourth proportional to 218.63, 328.15 and 157.47 is: 236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.63 : 328.15 = 157.47 : x
  2. Step 2: Convert to fraction form
    218.63/328.15 = 157.47/x
  3. Step 3: Cross multiply
    218.63x = 328.15 × 157.47
  4. Step 4: Simplify right side
    218.63x = 51,673.78
  5. Step 5: Solve for x
    x = 51,673.78/218.63
  6. Step 6: Final answer
    x = 236.35

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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.