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Finding the Fourth Proportional to 147.64, 203.77 and 85.48

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Solution

The fourth proportional to 147.64, 203.77 and 85.48 is: 117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.64 : 203.77 = 85.48 : x
  2. Step 2: Convert to fraction form
    147.64/203.77 = 85.48/x
  3. Step 3: Cross multiply
    147.64x = 203.77 × 85.48
  4. Step 4: Simplify right side
    147.64x = 17,418.26
  5. Step 5: Solve for x
    x = 17,418.26/147.64
  6. Step 6: Final answer
    x = 117.98

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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.