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Finding the Fourth Proportional to 56.34, 84.47 and 19.77

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Solution

The fourth proportional to 56.34, 84.47 and 19.77 is: 29.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.34 : 84.47 = 19.77 : x
  2. Step 2: Convert to fraction form
    56.34/84.47 = 19.77/x
  3. Step 3: Cross multiply
    56.34x = 84.47 × 19.77
  4. Step 4: Simplify right side
    56.34x = 1,669.97
  5. Step 5: Solve for x
    x = 1,669.97/56.34
  6. Step 6: Final answer
    x = 29.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.