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Finding the Fourth Proportional to 53.18, 79.36 and 48.06

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Solution

The fourth proportional to 53.18, 79.36 and 48.06 is: 71.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.18 : 79.36 = 48.06 : x
  2. Step 2: Convert to fraction form
    53.18/79.36 = 48.06/x
  3. Step 3: Cross multiply
    53.18x = 79.36 × 48.06
  4. Step 4: Simplify right side
    53.18x = 3,814.04
  5. Step 5: Solve for x
    x = 3,814.04/53.18
  6. Step 6: Final answer
    x = 71.72

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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.