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Finding the Fourth Proportional to 53.14, 79.50 and 42.88

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Solution

The fourth proportional to 53.14, 79.50 and 42.88 is: 64.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.14 : 79.50 = 42.88 : x
  2. Step 2: Convert to fraction form
    53.14/79.50 = 42.88/x
  3. Step 3: Cross multiply
    53.14x = 79.50 × 42.88
  4. Step 4: Simplify right side
    53.14x = 3,408.96
  5. Step 5: Solve for x
    x = 3,408.96/53.14
  6. Step 6: Final answer
    x = 64.15

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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.