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Finding the Fourth Proportional to 135.63, 203.27 and 70.53

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Solution

The fourth proportional to 135.63, 203.27 and 70.53 is: 105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.63 : 203.27 = 70.53 : x
  2. Step 2: Convert to fraction form
    135.63/203.27 = 70.53/x
  3. Step 3: Cross multiply
    135.63x = 203.27 × 70.53
  4. Step 4: Simplify right side
    135.63x = 14,336.28
  5. Step 5: Solve for x
    x = 14,336.28/135.63
  6. Step 6: Final answer
    x = 105.70

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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.