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Finding the Fourth Proportional to 218.16, 328.53 and 157.71

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Solution

The fourth proportional to 218.16, 328.53 and 157.71 is: 237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.16 : 328.53 = 157.71 : x
  2. Step 2: Convert to fraction form
    218.16/328.53 = 157.71/x
  3. Step 3: Cross multiply
    218.16x = 328.53 × 157.71
  4. Step 4: Simplify right side
    218.16x = 51,813.85
  5. Step 5: Solve for x
    x = 51,813.85/218.16
  6. Step 6: Final answer
    x = 237.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.