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Finding the Fourth Proportional to 83.42, 114.98 and 64.94

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Solution

The fourth proportional to 83.42, 114.98 and 64.94 is: 89.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.42 : 114.98 = 64.94 : x
  2. Step 2: Convert to fraction form
    83.42/114.98 = 64.94/x
  3. Step 3: Cross multiply
    83.42x = 114.98 × 64.94
  4. Step 4: Simplify right side
    83.42x = 7,466.76
  5. Step 5: Solve for x
    x = 7,466.76/83.42
  6. Step 6: Final answer
    x = 89.51

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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.