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Finding the Fourth Proportional to 53.06, 73.20 and 34.65

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Solution

The fourth proportional to 53.06, 73.20 and 34.65 is: 47.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.06 : 73.20 = 34.65 : x
  2. Step 2: Convert to fraction form
    53.06/73.20 = 34.65/x
  3. Step 3: Cross multiply
    53.06x = 73.20 × 34.65
  4. Step 4: Simplify right side
    53.06x = 2,536.38
  5. Step 5: Solve for x
    x = 2,536.38/53.06
  6. Step 6: Final answer
    x = 47.80

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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.