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Finding the Fourth Proportional to 147.54, 202.16 and 145.38

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Solution

The fourth proportional to 147.54, 202.16 and 145.38 is: 199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.54 : 202.16 = 145.38 : x
  2. Step 2: Convert to fraction form
    147.54/202.16 = 145.38/x
  3. Step 3: Cross multiply
    147.54x = 202.16 × 145.38
  4. Step 4: Simplify right side
    147.54x = 29,390.02
  5. Step 5: Solve for x
    x = 29,390.02/147.54
  6. Step 6: Final answer
    x = 199.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.