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Finding the Fourth Proportional to 143.75, 214.74 and 91.98

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Solution

The fourth proportional to 143.75, 214.74 and 91.98 is: 137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.75 : 214.74 = 91.98 : x
  2. Step 2: Convert to fraction form
    143.75/214.74 = 91.98/x
  3. Step 3: Cross multiply
    143.75x = 214.74 × 91.98
  4. Step 4: Simplify right side
    143.75x = 19,751.79
  5. Step 5: Solve for x
    x = 19,751.79/143.75
  6. Step 6: Final answer
    x = 137.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.