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Finding the Fourth Proportional to 55.98, 83.48 and 53.46

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Solution

The fourth proportional to 55.98, 83.48 and 53.46 is: 79.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.98 : 83.48 = 53.46 : x
  2. Step 2: Convert to fraction form
    55.98/83.48 = 53.46/x
  3. Step 3: Cross multiply
    55.98x = 83.48 × 53.46
  4. Step 4: Simplify right side
    55.98x = 4,462.57
  5. Step 5: Solve for x
    x = 4,462.57/55.98
  6. Step 6: Final answer
    x = 79.72

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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.