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Finding the Fourth Proportional to 52.69, 72.77 and 49.66

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Solution

The fourth proportional to 52.69, 72.77 and 49.66 is: 68.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.69 : 72.77 = 49.66 : x
  2. Step 2: Convert to fraction form
    52.69/72.77 = 49.66/x
  3. Step 3: Cross multiply
    52.69x = 72.77 × 49.66
  4. Step 4: Simplify right side
    52.69x = 3,613.51
  5. Step 5: Solve for x
    x = 3,613.51/52.69
  6. Step 6: Final answer
    x = 68.58

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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.