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Finding the Fourth Proportional to 47.52, 70.77 and 45.21

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Solution

The fourth proportional to 47.52, 70.77 and 45.21 is: 67.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.52 : 70.77 = 45.21 : x
  2. Step 2: Convert to fraction form
    47.52/70.77 = 45.21/x
  3. Step 3: Cross multiply
    47.52x = 70.77 × 45.21
  4. Step 4: Simplify right side
    47.52x = 3,199.51
  5. Step 5: Solve for x
    x = 3,199.51/47.52
  6. Step 6: Final answer
    x = 67.33

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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.