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Finding the Fourth Proportional to 151.05, 211.20 and 151.05

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Solution

The fourth proportional to 151.05, 211.20 and 151.05 is: 211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.05 : 211.20 = 151.05 : x
  2. Step 2: Convert to fraction form
    151.05/211.20 = 151.05/x
  3. Step 3: Cross multiply
    151.05x = 211.20 × 151.05
  4. Step 4: Simplify right side
    151.05x = 31,901.76
  5. Step 5: Solve for x
    x = 31,901.76/151.05
  6. Step 6: Final answer
    x = 211.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.