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Finding the Fourth Proportional to 53.40, 79.54 and 53.18

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Solution

The fourth proportional to 53.40, 79.54 and 53.18 is: 79.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.40 : 79.54 = 53.18 : x
  2. Step 2: Convert to fraction form
    53.40/79.54 = 53.18/x
  3. Step 3: Cross multiply
    53.40x = 79.54 × 53.18
  4. Step 4: Simplify right side
    53.40x = 4,229.94
  5. Step 5: Solve for x
    x = 4,229.94/53.40
  6. Step 6: Final answer
    x = 79.21

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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.