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Finding the Fourth Proportional to 64.93, 97.05 and 49.55

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Solution

The fourth proportional to 64.93, 97.05 and 49.55 is: 74.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.93 : 97.05 = 49.55 : x
  2. Step 2: Convert to fraction form
    64.93/97.05 = 49.55/x
  3. Step 3: Cross multiply
    64.93x = 97.05 × 49.55
  4. Step 4: Simplify right side
    64.93x = 4,808.66
  5. Step 5: Solve for x
    x = 4,808.66/64.93
  6. Step 6: Final answer
    x = 74.06

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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.