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Finding the Fourth Proportional to 203.37, 279.93 and 148.02

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Solution

The fourth proportional to 203.37, 279.93 and 148.02 is: 203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.37 : 279.93 = 148.02 : x
  2. Step 2: Convert to fraction form
    203.37/279.93 = 148.02/x
  3. Step 3: Cross multiply
    203.37x = 279.93 × 148.02
  4. Step 4: Simplify right side
    203.37x = 41,435.24
  5. Step 5: Solve for x
    x = 41,435.24/203.37
  6. Step 6: Final answer
    x = 203.74

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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.