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Finding the Fourth Proportional to 114.32, 170.66 and 98

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Solution

The fourth proportional to 114.32, 170.66 and 98 is: 146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.32 : 170.66 = 98 : x
  2. Step 2: Convert to fraction form
    114.32/170.66 = 98/x
  3. Step 3: Cross multiply
    114.32x = 170.66 × 98
  4. Step 4: Simplify right side
    114.32x = 16,724.68
  5. Step 5: Solve for x
    x = 16,724.68/114.32
  6. Step 6: Final answer
    x = 146.30

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Find fourth proportional to 57.16, 85.33 and 49
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1.5x scale

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.