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Finding the Fourth Proportional to 55.86, 83.20 and 53.40

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Solution

The fourth proportional to 55.86, 83.20 and 53.40 is: 79.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.86 : 83.20 = 53.40 : x
  2. Step 2: Convert to fraction form
    55.86/83.20 = 53.40/x
  3. Step 3: Cross multiply
    55.86x = 83.20 × 53.40
  4. Step 4: Simplify right side
    55.86x = 4,442.88
  5. Step 5: Solve for x
    x = 4,442.88/55.86
  6. Step 6: Final answer
    x = 79.54

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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.