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Finding the Fourth Proportional to 113.49, 156.32 and 105.53

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Solution

The fourth proportional to 113.49, 156.32 and 105.53 is: 145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.49 : 156.32 = 105.53 : x
  2. Step 2: Convert to fraction form
    113.49/156.32 = 105.53/x
  3. Step 3: Cross multiply
    113.49x = 156.32 × 105.53
  4. Step 4: Simplify right side
    113.49x = 16,495.14
  5. Step 5: Solve for x
    x = 16,495.14/113.49
  6. Step 6: Final answer
    x = 145.34

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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.