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Finding the Fourth Proportional to 227.50, 314.07 and 153.21

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Solution

The fourth proportional to 227.50, 314.07 and 153.21 is: 211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.50 : 314.07 = 153.21 : x
  2. Step 2: Convert to fraction form
    227.50/314.07 = 153.21/x
  3. Step 3: Cross multiply
    227.50x = 314.07 × 153.21
  4. Step 4: Simplify right side
    227.50x = 48,117.91
  5. Step 5: Solve for x
    x = 48,117.91/227.50
  6. Step 6: Final answer
    x = 211.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.