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Finding the Fourth Proportional to 98.77, 136.29 and 64.25

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Solution

The fourth proportional to 98.77, 136.29 and 64.25 is: 88.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.77 : 136.29 = 64.25 : x
  2. Step 2: Convert to fraction form
    98.77/136.29 = 64.25/x
  3. Step 3: Cross multiply
    98.77x = 136.29 × 64.25
  4. Step 4: Simplify right side
    98.77x = 8,756.31
  5. Step 5: Solve for x
    x = 8,756.31/98.77
  6. Step 6: Final answer
    x = 88.65

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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.