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Finding the Fourth Proportional to 553.50, 830.12 and 163.53

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Solution

The fourth proportional to 553.50, 830.12 and 163.53 is: 245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.50 : 830.12 = 163.53 : x
  2. Step 2: Convert to fraction form
    553.50/830.12 = 163.53/x
  3. Step 3: Cross multiply
    553.50x = 830.12 × 163.53
  4. Step 4: Simplify right side
    553.50x = 135,746.51
  5. Step 5: Solve for x
    x = 135,746.51/553.50
  6. Step 6: Final answer
    x = 245.25

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.