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Finding the Fourth Proportional to 134.64, 202.64 and 100.58

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Solution

The fourth proportional to 134.64, 202.64 and 100.58 is: 151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.64 : 202.64 = 100.58 : x
  2. Step 2: Convert to fraction form
    134.64/202.64 = 100.58/x
  3. Step 3: Cross multiply
    134.64x = 202.64 × 100.58
  4. Step 4: Simplify right side
    134.64x = 20,381.29
  5. Step 5: Solve for x
    x = 20,381.29/134.64
  6. Step 6: Final answer
    x = 151.38

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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.