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Finding the Fourth Proportional to 152.99, 212.10 and 145.20

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Solution

The fourth proportional to 152.99, 212.10 and 145.20 is: 201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.99 : 212.10 = 145.20 : x
  2. Step 2: Convert to fraction form
    152.99/212.10 = 145.20/x
  3. Step 3: Cross multiply
    152.99x = 212.10 × 145.20
  4. Step 4: Simplify right side
    152.99x = 30,796.92
  5. Step 5: Solve for x
    x = 30,796.92/152.99
  6. Step 6: Final answer
    x = 201.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.