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Finding the Fourth Proportional to 53.69, 73.13 and 52.67

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Solution

The fourth proportional to 53.69, 73.13 and 52.67 is: 71.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.69 : 73.13 = 52.67 : x
  2. Step 2: Convert to fraction form
    53.69/73.13 = 52.67/x
  3. Step 3: Cross multiply
    53.69x = 73.13 × 52.67
  4. Step 4: Simplify right side
    53.69x = 3,851.68
  5. Step 5: Solve for x
    x = 3,851.68/53.69
  6. Step 6: Final answer
    x = 71.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.