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Finding the Fourth Proportional to 147.47, 202.37 and 145.24

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Solution

The fourth proportional to 147.47, 202.37 and 145.24 is: 199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.47 : 202.37 = 145.24 : x
  2. Step 2: Convert to fraction form
    147.47/202.37 = 145.24/x
  3. Step 3: Cross multiply
    147.47x = 202.37 × 145.24
  4. Step 4: Simplify right side
    147.47x = 29,390.99
  5. Step 5: Solve for x
    x = 29,390.99/147.47
  6. Step 6: Final answer
    x = 199.31

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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.