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Finding the Fourth Proportional to 101.46, 153.30 and 100.47

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Solution

The fourth proportional to 101.46, 153.30 and 100.47 is: 151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.46 : 153.30 = 100.47 : x
  2. Step 2: Convert to fraction form
    101.46/153.30 = 100.47/x
  3. Step 3: Cross multiply
    101.46x = 153.30 × 100.47
  4. Step 4: Simplify right side
    101.46x = 15,402.05
  5. Step 5: Solve for x
    x = 15,402.05/101.46
  6. Step 6: Final answer
    x = 151.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.