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Finding the Fourth Proportional to 152.01, 211.46 and 149.04

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Solution

The fourth proportional to 152.01, 211.46 and 149.04 is: 207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.01 : 211.46 = 149.04 : x
  2. Step 2: Convert to fraction form
    152.01/211.46 = 149.04/x
  3. Step 3: Cross multiply
    152.01x = 211.46 × 149.04
  4. Step 4: Simplify right side
    152.01x = 31,515.25
  5. Step 5: Solve for x
    x = 31,515.25/152.01
  6. Step 6: Final answer
    x = 207.32

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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.