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Finding the Fourth Proportional to 152.90, 212.42 and 151.47

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Solution

The fourth proportional to 152.90, 212.42 and 151.47 is: 210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.90 : 212.42 = 151.47 : x
  2. Step 2: Convert to fraction form
    152.90/212.42 = 151.47/x
  3. Step 3: Cross multiply
    152.90x = 212.42 × 151.47
  4. Step 4: Simplify right side
    152.90x = 32,175.64
  5. Step 5: Solve for x
    x = 32,175.64/152.90
  6. Step 6: Final answer
    x = 210.43

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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.