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Finding the Fourth Proportional to 66, 98.25 and 64.20

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Solution

The fourth proportional to 66, 98.25 and 64.20 is: 95.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66 : 98.25 = 64.20 : x
  2. Step 2: Convert to fraction form
    66/98.25 = 64.20/x
  3. Step 3: Cross multiply
    66x = 98.25 × 64.20
  4. Step 4: Simplify right side
    66x = 6,307.65
  5. Step 5: Solve for x
    x = 6,307.65/66
  6. Step 6: Final answer
    x = 95.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.