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Finding the Fourth Proportional to 105.55, 156.96 and 102.30

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Solution

The fourth proportional to 105.55, 156.96 and 102.30 is: 152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.55 : 156.96 = 102.30 : x
  2. Step 2: Convert to fraction form
    105.55/156.96 = 102.30/x
  3. Step 3: Cross multiply
    105.55x = 156.96 × 102.30
  4. Step 4: Simplify right side
    105.55x = 16,056.62
  5. Step 5: Solve for x
    x = 16,056.62/105.55
  6. Step 6: Final answer
    x = 152.13

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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.