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Finding the Fourth Proportional to 96.78, 133.46 and 64.05

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Solution

The fourth proportional to 96.78, 133.46 and 64.05 is: 88.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.78 : 133.46 = 64.05 : x
  2. Step 2: Convert to fraction form
    96.78/133.46 = 64.05/x
  3. Step 3: Cross multiply
    96.78x = 133.46 × 64.05
  4. Step 4: Simplify right side
    96.78x = 8,547.53
  5. Step 5: Solve for x
    x = 8,547.53/96.78
  6. Step 6: Final answer
    x = 88.32

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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.