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Finding the Fourth Proportional to 67.65, 92.85 and 64.77

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Solution

The fourth proportional to 67.65, 92.85 and 64.77 is: 88.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.65 : 92.85 = 64.77 : x
  2. Step 2: Convert to fraction form
    67.65/92.85 = 64.77/x
  3. Step 3: Cross multiply
    67.65x = 92.85 × 64.77
  4. Step 4: Simplify right side
    67.65x = 6,013.89
  5. Step 5: Solve for x
    x = 6,013.89/67.65
  6. Step 6: Final answer
    x = 88.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.