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Finding the Fourth Proportional to 147.32, 201.91 and 145.40

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Solution

The fourth proportional to 147.32, 201.91 and 145.40 is: 199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.32 : 201.91 = 145.40 : x
  2. Step 2: Convert to fraction form
    147.32/201.91 = 145.40/x
  3. Step 3: Cross multiply
    147.32x = 201.91 × 145.40
  4. Step 4: Simplify right side
    147.32x = 29,357.71
  5. Step 5: Solve for x
    x = 29,357.71/147.32
  6. Step 6: Final answer
    x = 199.28

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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.