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Finding the Fourth Proportional to 101.77, 153.64 and 101.23

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Solution

The fourth proportional to 101.77, 153.64 and 101.23 is: 152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.77 : 153.64 = 101.23 : x
  2. Step 2: Convert to fraction form
    101.77/153.64 = 101.23/x
  3. Step 3: Cross multiply
    101.77x = 153.64 × 101.23
  4. Step 4: Simplify right side
    101.77x = 15,552.98
  5. Step 5: Solve for x
    x = 15,552.98/101.77
  6. Step 6: Final answer
    x = 152.82

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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.