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Finding the Fourth Proportional to 98.64, 135.80 and 93.51

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Solution

The fourth proportional to 98.64, 135.80 and 93.51 is: 128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.64 : 135.80 = 93.51 : x
  2. Step 2: Convert to fraction form
    98.64/135.80 = 93.51/x
  3. Step 3: Cross multiply
    98.64x = 135.80 × 93.51
  4. Step 4: Simplify right side
    98.64x = 12,698.66
  5. Step 5: Solve for x
    x = 12,698.66/98.64
  6. Step 6: Final answer
    x = 128.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.