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Finding the Fourth Proportional to 47.51, 65.21 and 42.21

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Solution

The fourth proportional to 47.51, 65.21 and 42.21 is: 57.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.51 : 65.21 = 42.21 : x
  2. Step 2: Convert to fraction form
    47.51/65.21 = 42.21/x
  3. Step 3: Cross multiply
    47.51x = 65.21 × 42.21
  4. Step 4: Simplify right side
    47.51x = 2,752.41
  5. Step 5: Solve for x
    x = 2,752.41/47.51
  6. Step 6: Final answer
    x = 57.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.