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Finding the Fourth Proportional to 53.03, 73.23 and 42.77

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Solution

The fourth proportional to 53.03, 73.23 and 42.77 is: 59.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.03 : 73.23 = 42.77 : x
  2. Step 2: Convert to fraction form
    53.03/73.23 = 42.77/x
  3. Step 3: Cross multiply
    53.03x = 73.23 × 42.77
  4. Step 4: Simplify right side
    53.03x = 3,132.05
  5. Step 5: Solve for x
    x = 3,132.05/53.03
  6. Step 6: Final answer
    x = 59.06

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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.